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Relevant bibliographies by topics / Earthquake engineering – Mathematics

Academic literature on the topic 'Earthquake engineering – Mathematics'

Author: Grafiati

Published: 10 December 2022

Last updated: 28 January 2023

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Journal articles on the topic "Earthquake engineering – Mathematics"

1

English, Lyn D., and Donna T. King. "Designing an Earthquake-Resistant Building." Teaching Children Mathematics 23, no. 1 (August 2016): 47–50. http://dx.doi.org/10.5951/teacchilmath.23.1.0047.

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Contributors to the iSTEM (Integrating Science, Technology, Engineering, and Mathematics) department share ideas and activities that stimulate student interest in the integrated fields of science, technology, engineering, and mathematics (STEM) in K–grade 6 classrooms. This article is a comprehensive Earthquake Engineering activity that includes the Designing an earthquake-resistant building problem. The task was implemented in sixth-grade classes (10–11-year-olds). Students applied engineering design processes and their understanding of cross-bracing, tapered geometry, and base isolation to create numerous structures, which they tested on a “shaker table.”

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Kanamori, Hiroo. "Lessons from the 2004 Sumatra–Andaman earthquake." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 364, no. 1845 (June 27, 2006): 1927–45. http://dx.doi.org/10.1098/rsta.2006.1806.

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The 2004 Sumatra–Andaman earthquake ( M w =9.0–9.3) is one of the greatest earthquakes ever recorded. In terms of its physical size, it is comparable to the 1960 Chilean ( M w =9.5) and the 1965 Alaskan ( M w =9.2) earthquakes. However, the damage caused by this earthquake is far greater than that caused by other great earthquakes. The 2004 Sumatra–Andaman earthquake has been studied in great detail over broad time-scales, from a fraction of seconds to hours and months, using the modern seismic data available from global seismic networks and the Global Positioning System data. We summarize the findings obtained mainly from seismic data, and discuss the unique feature of this earthquake, and possible directions of research to minimize the impact of great earthquakes on our society.

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Satake, Kenji. "Geological and historical evidence of irregular recurrent earthquakes in Japan." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 373, no. 2053 (October 28, 2015): 20140375. http://dx.doi.org/10.1098/rsta.2014.0375.

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Great ( M ∼8) earthquakes repeatedly occur along the subduction zones around Japan and cause fault slip of a few to several metres releasing strains accumulated from decades to centuries of plate motions. Assuming a simple ‘characteristic earthquake’ model that similar earthquakes repeat at regular intervals, probabilities of future earthquake occurrence have been calculated by a government committee. However, recent studies on past earthquakes including geological traces from giant ( M ∼9) earthquakes indicate a variety of size and recurrence interval of interplate earthquakes. Along the Kuril Trench off Hokkaido, limited historical records indicate that average recurrence interval of great earthquakes is approximately 100 years, but the tsunami deposits show that giant earthquakes occurred at a much longer interval of approximately 400 years. Along the Japan Trench off northern Honshu, recurrence of giant earthquakes similar to the 2011 Tohoku earthquake with an interval of approximately 600 years is inferred from historical records and tsunami deposits. Along the Sagami Trough near Tokyo, two types of Kanto earthquakes with recurrence interval of a few hundred years and a few thousand years had been recognized, but studies show that the recent three Kanto earthquakes had different source extents. Along the Nankai Trough off western Japan, recurrence of great earthquakes with an interval of approximately 100 years has been identified from historical literature, but tsunami deposits indicate that the sizes of the recurrent earthquakes are variable. Such variability makes it difficult to apply a simple ‘characteristic earthquake’ model for the long-term forecast, and several attempts such as use of geological data for the evaluation of future earthquake probabilities or the estimation of maximum earthquake size in each subduction zone are being conducted by government committees.

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Vinod, J. S. "Dem Simulations in Geotechnical Earthquake Engineering Education." International Journal of Geotechnical Earthquake Engineering 1, no. 1 (January 2010): 61–69. http://dx.doi.org/10.4018/jgee.2010090804.

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Behaviour of geotechnical material is very complex. Most of the theoretical frame work to understand the behaviour of geotechnical materials under different loading conditions depends on the strong background of the basic civil engineering subjects and advanced mathematics. However, it is fact that the complete behaviour of geotechnical material cannot be traced within theoretical framework. Recently, computational models based on Finite Element Method (FEM) are used to understand the behaviour of geotechnical problems. FEM models are quite complex and is of little interest to undergraduate students. A simple computational tool developed using Discrete Element Method (DEM) to simulate the laboratory experiments will be cutting edge research for geotechnical earthquake engineering education. This article summarizes the potential of DEM to simulate the cyclic triaxial behaviour of granular materials under complex loading conditions. It is shown that DEM is capable of simulating the cyclic behavior of granular materials (e.g. undrained, liquefaction and post liquefaction) similar to the laboratory experiments.

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FRAGIADAKIS, MICHALIS, and MANOLIS PAPADRAKAKIS. "MODELING, ANALYSIS AND RELIABILITY OF SEISMICALLY EXCITED STRUCTURES: COMPUTATIONAL ISSUES." International Journal of Computational Methods 05, no. 04 (December 2008): 483–511. http://dx.doi.org/10.1142/s0219876208001674.

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A critical review of the current state of the art of the computing practices adopted by the earthquake engineering community is presented. Advanced computational tools are necessary for estimating the demand on seismically excited structures. Such computational methodologies can provide valuable information on a number of engineering parameters which have been proven essential for earthquake the engineering practice. The discussion extends from the finite element modeling of earthquake-resistant structures and the analysis procedures currently used to future developments considering the calculation of uncertainty and methodologies which rely on sophisticated computational methods. The objective is to provide a common ground of collaboration between the earthquake engineering and computational mechanics communities in an effort to mitigate future earthquake losses.

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Jackson, James. "Fatal attraction: living with earthquakes, the growth of villages into megacities, and earthquake vulnerability in the modern world." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 364, no. 1845 (June 27, 2006): 1911–25. http://dx.doi.org/10.1098/rsta.2006.1805.

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The great earthquake belt which stretches from the Mediterranean through the Middle East into Central Asia results from the ongoing collision between the Eurasian plate and the African, Arabian and Indian plates to the south. Through much of this belt, the topography is created and controlled by fault movement in earthquakes. Many habitations are located at the foot of the fault-controlled mountain range-fronts that bound inhospitable deserts or elevated plateaus, in positions that are favourable for trade-routes, strategic control of access or for water supply. As a result, they are vulnerable to earthquakes, which often seem to have targeted population centres precisely. For many centuries, an uneasy accommodation was reached between human needs and the earthquake-controlled landscape, sometimes brilliantly exploited by local hydrological engineering, as in Iran. Occasional earthquakes would occur, killing a shocking proportion of the population, but the populations of the settlements themselves would be relatively small. Many once-small rural communities have now grown into towns, cities or megacities, while retaining their vulnerability through poor building standards. Earthquakes that occur in these places today now kill many more than they did in the past, as we have witnessed in the last few years. Extreme catastrophes have been rare only because the exposure of modern megacities to earthquake hazards has been relatively short (approx. 50 years); an increase in the number of such catastrophes now seems to be inevitable.

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Olsen-Kettle, Louise, Hans Mühlhaus, and Christian Baillard. "A study of localization limiters and mesh dependency in earthquake rupture." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 368, no. 1910 (January 13, 2010): 119–30. http://dx.doi.org/10.1098/rsta.2009.0190.

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No complete physically consistent model of earthquake rupture exists that can fully describe the rich hierarchy of scale dependencies and nonlinearities associated with earthquakes. We study mesh sensitivity in numerical models of earthquake rupture and demonstrate that this mesh sensitivity may provide hidden clues to the underlying physics generating the rich dynamics associated with earthquake rupture. We focus on unstable slip events that occur in earthquakes when rupture is associated with frictional weakening of the fault. Attempts to simulate these phenomena directly by introducing the relevant constitutive behaviour leads to mesh-dependent results, where the deformation localizes in one element, irrespective of size. Interestingly, earthquake models with oversized mesh elements that are ill-posed in the continuum limit display more complex and realistic physics. Until now, the mesh-dependency problem has been regarded as a red herring—but have we overlooked an important clue arising from the mesh sensitivity? We analyse spatial discretization errors introduced into models with oversized meshes to show how the governing equations may change because of these error terms and give rise to more interesting physics.

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De La Flor, Grace, Mobin Ojaghi, Ignacio Lamata Martínez, Marina Jirotka, Martin S. Williams, and Anthony Blakeborough. "Reconfiguring practice: the interdependence of experimental procedure and computing infrastructure in distributed earthquake engineering." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 368, no. 1926 (September 13, 2010): 4073–88. http://dx.doi.org/10.1098/rsta.2010.0140.

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When transitioning local laboratory practices into distributed environments, the interdependent relationship between experimental procedure and the technologies used to execute experiments becomes highly visible and a focal point for system requirements. We present an analysis of ways in which this reciprocal relationship is reconfiguring laboratory practices in earthquake engineering as a new computing infrastructure is embedded within three laboratories in order to facilitate the execution of shared experiments across geographically distributed sites. The system has been developed as part of the UK Network for Earthquake Engineering Simulation e-Research project, which links together three earthquake engineering laboratories at the universities of Bristol, Cambridge and Oxford. We consider the ways in which researchers have successfully adapted their local laboratory practices through the modification of experimental procedure so that they may meet the challenges of coordinating distributed earthquake experiments.

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Abercrombie, Rachel E. "Resolution and uncertainties in estimates of earthquake stress drop and energy release." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 379, no. 2196 (March 15, 2021): 20200131. http://dx.doi.org/10.1098/rsta.2020.0131.

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Our models and understanding of the dynamics of earthquake rupture are based largely on estimates of earthquake source parameters, such as stress drop and radiated seismic energy. Unfortunately, the measurements, especially those of small and moderate-sized earthquakes (magnitude less than about 5 or 6), are not well resolved, containing significant random and potentially systematic uncertainties. The aim of this review is to provide a context in which to understand the challenges involved in estimating these measurements, and to assess the quality and reliability of reported measurements of earthquake source parameters. I also discuss some of the ways progress is being made towards more reliable parameter measurements. At present, whether the earthquake source is entirely self-similar, or not, and which factors and processes control the physics of the rupture remains, at least in the author's opinion, largely unconstrained. Detailed analysis of the best recorded earthquakes, using the increasing quantity and quality of data available, and methods less dependent on simplistic source models is one approach that may help provide better constraints. This article is part of the theme issue ‘Fracture dynamics of solid materials: from particles to the globe’.

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KR. AGRAWAL, SHAILESH. "GENERATION OF SYNTHETIC ACCELEROGRAMS USING ENGINEERING EARTHQUAKE SOURCE MODEL." International Journal of Structural Stability and Dynamics 04, no. 04 (December 2004): 497–514. http://dx.doi.org/10.1142/s0219455404001343.

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The strong motion records available during an earthquake can be treated as the response of the earth as a structural system to unknown forces acting at unknown locations. Thus, if the part of the earth participating in ground motion is modeled as a known finite elastic medium, one can model the source location and forces generated during the earthquake as an inverse problem. Based on this analogy, a simple model for the earthquake source is proposed, by assuming the source to be a sequence of impulses acting at locations yet to be found. These impulses and their locations are found using the normal mode expansion along with a minimization of mean squared error. The medium is assumed to be finite, elastic, homogeneous, layered and horizontal with specified boundary conditions. Detailed results are obtained for the Uttarkashi earthquake of 20th October 1991, in India. The impulse locations are shown to be closely associated with the underlying fault mechanism. The proposed model is then used to simulate the acceleration time histories at a few recording stations. The earthquake source expressed in terms of a sequence of impulses acting at different locations is applied to a 2D finite elastic medium. The acceleration time histories found from this model agree well with with the accelerations recorded for the earthquake.

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Dissertations / Theses on the topic "Earthquake engineering – Mathematics"

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Norton, Kevin M. "Parameter optimization of seismic isolator models using recursive block-by-block nonlinear transient structural synthesis." Thesis, Monterey, Calif. : Springfield, Va. : Naval Postgraduate School ; Available from National Technical Information Service, 2002. http://library.nps.navy.mil/uhtbin/hyperion-image/02sep%5FNorton.pdf.

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Chang, Tsu-Sheng. "A study of seismic response of rotating machines subjected to multi-component base excitation." Thesis, This resource online, 1992. http://scholar.lib.vt.edu/theses/available/etd-05042010-020148/.

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Li, Quanwang. "Mathematical Formulation of Tools for Assessment of Fragility and Vulnerability of Damaged Buildings." Diss., Georgia Institute of Technology, 2006. http://hdl.handle.net/1853/10529.

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Performance-Based (PBE) and Consequence-Based (CBE) are new approaches to seismic design, evaluation and risk assessment, in which design criteria are devised to achieve stated performance objectives, and regional losses to civil infrastructure are mitigated through selective interventions for critical components of a civil infrastructure. These new approaches give engineers more flexibility in achieving performance goals but require substantial additional computational resources to fully achieve performance goals. As a step toward making such approaches feasible, this dissertation develops a number of computationally efficient methods for performing finite element-based structural system dynamic response analysis and reliability assessment. The Enhanced Uncoupled Modal Response History Analysis (EUMRHA) procedure developed herein is an efficient response analysis procedure to make the analysis of dynamic structural response to earthquakes in the nonlinear range less time-consuming. This technique is used to investigate the potential for aftershocks to cause additional damage to steel moment frame buildings, utilizing a technique designed to enhance the efficiency of Monte Carlo simulation in estimating low-probability events. Relatively simple probabilistic tools are proposed for purposes of rapid structural evaluation and condition assessment of damaged buildings. Finally, an analysis-based inspection scheme based on an associated probability model of connection damage is proposed for assessing the safety condition of existing buildings, and a procedure to assess the likely performance of an un-repaired building during a future earthquake is developed.

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Kahle, Matthew Gilbert. "Partially restrained composite connections : design and analysis of a prototype structure." Thesis, Georgia Institute of Technology, 2002. http://hdl.handle.net/1853/20830.

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Yi, Tianyi. "Experimental Investigation and Numerical Simulation of an Unreinforced Masonry Structure with Flexible Diaphragms." Diss., Georgia Institute of Technology, 2004. http://hdl.handle.net/1853/5149.

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Unreinforced masonry (URM) construction, which has been widely used in the United States, presents a large threat to life safety and regional economic development because of its poor seismic resistance. In this research, the nonlinear seismic properties of URM structures were investigated via a quasi-static test of a full-scale two-story URM building and associated analytical and numerical studies. The tests of the 24ft. by 24ft. in plan 22ft. high URM building revealed that the damage was characterized by (1) the formation of large discrete cracks in the masonry walls and (2) the rocking and sliding of URM piers. Both of these results were consistent with the predictions based on individual component properties obtained in previous research. However, the tests also revealed significant global behavior phenomena, including flange effects, overturning moment effects, and the formation of different effective piers in a perforated wall. This global behavior greatly affected the response of the URM building tested. In order to understand the nonlinear behavior of the test structure, a series of analytical studies were conducted. First, at the material level, a mechanical key model was proposed to describe the failure of URM assemblages under a biaxial state of stress. Second, at the component level, an effective pier model was developed to illustrate the mixed failure modes of a URM pier and its nonlinear force-deformation relationship. Third, at the structure level, a nonlinear pushover model was built using the mechanical models at the material and component levels to describe the nonlinear properties of a URM building. This nonlinear pushover model and a three-dimensional finite element model were employed to analyze the test structure. Both gave results in good agreement with the test data. Improvements to current provisions for the evaluation of existing masonry structures were proposed.

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Thölken, Denise. "Efeito da rigidez de pilar parede no comportamento sísmico de edifício de concreto armado." Universidade Tecnológica Federal do Paraná, 2013. http://repositorio.utfpr.edu.br/jspui/handle/1/962.

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Este trabalho tem como objeto o estudo do efeito da rigidez de pilar parede no comportamento estrutural de edifícios de concreto armado submetidos a sismos. Foram consideradas as premissas da norma brasileira ABNT NBR15421:2006, que apresenta os critérios para projeto de estruturas resistentes a sismo. A análise linear com emprego dos métodos da norma - método das forças horizontais equivalentes, método espectral e histórico de aceleração no tempo - foi aplicada em edifícios com dois tipos de sistemas estruturais, sendo eles pórtico de concreto e sistema dual pórtico de concreto e pilar parede. Os resultados foram analisados nos pórticos de extremidade das estruturas nos sentidos longitudinal (x) e transversal (y), comparando-se os deslocamentos de cada pavimento e esforços cortantes, momento fletor e normal nas bases dos pilares. A comparação foi realizada entre os três métodos aplicados e os sistemas estruturais analisados.
The aim of this work is to study the stiffness effect of wall columns on structural behavior of reinforced concrete buildings subjected to seismic action. The premises of the Brazilian standard ABNT NBR14521:2006 were considered, which presents criteria for earthquake resistant design of structures. The linear analysis employed the methods of the Brazilian standard - equivalent static load method, response spectrum analysis and time history method - were applied to buildings with two types of structural systems, namely concrete frame and dual system concrete frame and wall columns. The results were analyzed in edge frames structures in the longitudinal and transverse directions, comparing the displacement of each floor and shear, bending moment and axial forces on the bases of the columns. A comparison was made between the three methods applied and the structural systems analyzed.

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Patankar, Digvijay Babasaheb. "Capacity Spectrum Method : Energy Based Approach." Thesis, 2011. http://etd.iisc.ernet.in/handle/2005/1978.

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The capacity spectrum method is a very popular tool in the performance based earthquake resistant design of structures. Though it involves nonlinear static analysis, it can be used to predict the dynamic behaviour of the building under earthquake load. Since the analysis is only static and not dynamic, it is very well suited for the design offices and low end computer terminals as opposed to dynamic analysis which is very resource consuming. There are several methods/variations of methods, to perform the nonlinear static analysis, popularly known as pushover analysis and convert it to capacity spectrum. Displacement based pushover analysis, force based pushover analysis, modal pushover analysis, energy based pushover analysis etc. are some of the variations of pushover analysis. There are a few attempts to consider the change in mode shape but all the methods are silent about the change in frequency due to formation of hinges in the structure. The available codes for building design such as ATC-40 provide some guidelines for getting the capacity spectrum but are not yet developed for proper ductility consideration while converting the pushover curve to capacity spectrum. The present study tries to address the above issues while proposing a new energy based approach to draw capacity spectrum. The chapter 1 introduces the concept of pushover analysis and capacity spectrum concepts. Different approaches to get these curves, their theoretical background, variations and limitations are discussed as a quick review. Chapter 2 is about the review of literature present on these topics. It is found that most of the studies have been carried out in the past on the framed buildings regarding the pushover analysis. In the last few years attempts are also made to consider the effect of torsion. Summarising the various contributions till now, it may be concluded that even in the earlier multimode pushover analysis the effect of different modes on the only static force distribution was considered. Further the spectral acceleration is obtained as a ratio of base shear and α times the weight of the building, where α is the modal mass coefficient. Only the first mode frequency could be utilized to convert the maximum displacement at the top to the spectral acceleration and the corresponding maximum potential energy (P.E.) could be used for equivalence of MDOF and SDOF. Therefore in chapter 3 which follows, the above limitation is removed as explained below. In chapter 3, the new methodology based on energy equivalence consideration is proposed step by step. For the given multistorey building, a displacement profile is applied to the building which is proportional to the effective mode shape. The effective mode shape can be the first mode shape or a combination of first few mode shapes. In the present study, two cases are considered. In the first case, the effective mode shape is considered to be the first mode shape itself whereas in the second case the effective mode shape is considered to be a linear combination of first three modes weighted by corresponding participation factors. After this, a nonlinear static analysis is performed on the structure considering the above displacement profile. Due to the above provided displacement profile, there will be yielding in the structure at a few locations. The yielded structure is again analysed for eigenvalues and mode shapes and the first three mode shapes are extracted along with their participation factors. Again the deflected structure is subjected to the deflection proportional to the effective mode shape and the analysis is continued until the collapse. The chapter also describes the details of the model used for simulation. Two kinds of simulation are performed on the model. One is considering only single mode of vibration whereas the other is considering the multiple modes (3 in this case) of vibration of the structure. Chapter 4 discusses the results of the simulations performed on the model. Single mode and multimode cases are treated and discussed separately. The proposed method is in its nascent stage and hence a lot of modification and validation work is needed to consider the method acceptable. The chapter 5 concludes the overall outcome of the present study and provides scope for the further study.

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Ch��g, Guan B. "Aseismic performance of a cable-stayed structure with decentralized H[infinity] control." Thesis, 1996. http://hdl.handle.net/1957/34632.

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Torres, Maura Acevedo. "Reduction of Uncertainty in Post-Event Seismic Loss Estimates Using Observation Data and Bayesian Updating." Thesis, 2017. https://doi.org/10.7916/D8QR58F5.

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The insurance industry relies on both commercial and in-house software packages to quantify financial risk to natural hazards. For earthquakes, the initial loss estimates from the industry’s catastrophe risk (CAT) models are based on the probabilistic damage a building would sustain due to a catalog of simulated earthquake events. Based on the occurrence rates of the simulated earthquake events, an exceedance probability (EP) curve is calculated, which provides the probability of exceeding a specific loss threshold. Initially these loss exceedence probabilities help a company decide what insurance policies are most cost efficient. In addition they can also provide insights into loss predictions in the event that an actual natural disaster takes place, thus the insurance company is prepared to pay out their insured parties the necessary amount. However, there is always an associated uncertainty with the loss calculations produced by these models. The goal of this research is to reduce this uncertainty by using Bayesian inference with real time earthquake data to calculate an updated loss. Bayes theory is an iterative process that modifies the loss distribution with every piece of incoming information. The posterior updates are calculated by multiplying a baseline prior distribution with a likelihood function and normalization factor. The first prior is the initial loss distribution from the simulated events database before any information about a real earthquake is available. The crucial step in the update procedure is defining a likelihood function that establishes a relative weight for each simulated earthquake, relating how alike or dislike the attributes of a simulated earthquake are to those of a real earthquake event. To define this likelihood function, the general proposed approach is to quantify real time earthquake attributes such as magnitude, location, building tagging and damage, and compare them to an equivalent value for each simulated earthquake from the CAT model database. In order to obtain the simulated model parameters, the catastrophe risk model is analyzed for different building construction types, such as steel and reinforced concrete. For every model case, the loss, peak ground acceleration per building and simulated event magnitude and locations are recorded. Next, in order to calculate the real earthquake attributes, data was collected for three case studies, the 7.1 magnitude 1997 Punitaqui, the 8.8 magnitude 2010 Chile earthquake and the 6.7 magnitude 1994 Northridge earthquake. For each of these real earthquake events, the magnitude, location, peak ground acceleration at every available accelerometer location, building tagging and qualitative damage descriptions were recorded. Once the data was collected for both the real and simulated events, they were quantified so they could be compared on equal scales. Using the quantified parameter values, a likelihood function was defined for each update step. In general, as the number of updates increased, the loss estimates tended to converge to a steady value for both the medium and large event. In addition, the loss for the 6.7 and 7.1 event converged to a smaller value than that of the 8.8 event. The proposed methodology was only applied to earthquakes, but is broad enough to be applied to any type of peril.

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Books on the topic "Earthquake engineering – Mathematics"

1

Introduction to computational earthquake engineering. 2nd ed. London: Imperial College Press, 2011.

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Manolis, Papadrakakis, ed. Computational structural dynamics and earthquake engineering. Boca Raton: CRC Press, 2009.

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International Symposium on Fuzzy Mathematics in Earthquake Researches (1985 Peking, China). Fuzzy mathematics in earthquake researches: Proceedings of International Symposium on Fuzzy Mathematics in Earthquake Researches. Beijing: Seismological Press, 1985.

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C, Zienkiewicz O., ed. Computational geomechanics with special reference to earthquake engineering. Chichester: Wiley, 1999.

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5

Manolis, G. D. Stochastic structural dynamics in earthquake engineering. Southampton: WITPress, 2001.

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David, Key, ed. Earthquake design practice for buildings. London: ICE Publishing, 2014.

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David, Key, ed. Earthquake design practice for buildings. 2nd ed. London: Thomas Telford, 2006.

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Structural dynamics of earthquake engineering: Theory and application using Mathematica and MATLAB. Cambridge: Woodhead Publishing, 2009.

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Svirko, Yu P. Polarization of light in nonlinear optics. Chichester: John Wiley, 1998.

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Lin, Y. K. Stochastic Approaches in Earthquake Engineering: U.S.-Japan Joint Seminar, May 6-7, 1987, Boca Raton, Florida, USA. Berlin, Heidelberg: Springer Berlin Heidelberg, 1987.

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Book chapters on the topic "Earthquake engineering – Mathematics"

1

Puri, Nitish, and Ashwani Jain. "Assessment of Earthquake Hazard Based on Statistical Models, Probability Theory, and Nonlinear Analysis." In Recent Advances in Mathematics for Engineering, 21–54. Title: Recent advances in mathematics for engineering / edited by Mangey Ram. Description: Boca Raton, FL : CRC Press, Taylor & Francis Group, [2020] | Series: Mathematical engineering, manufacturing, and management sciences: CRC Press, 2020. http://dx.doi.org/10.1201/9780429200304-2.

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Billings, L. J., and R. Shepherd. "Mathematical modeling of seismic isolators." In Earthquake Engineering, edited by Shamim A. Sheikh and S. M. Uzumeri, 245–52. Toronto: University of Toronto Press, 1991. http://dx.doi.org/10.3138/9781487583217-032.

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Bhattacharya, Subhamoy. "Safety Assessment of piled Buildings in Liquefiable Soils: Mathematical Tools." In Encyclopedia of Earthquake Engineering, 1–16. Berlin, Heidelberg: Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-642-36197-5_232-1.

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Bhattacharya, Subhamoy. "Safety Assessment of Piled Buildings in Liquefiable Soils: Mathematical Tools." In Encyclopedia of Earthquake Engineering, 2413–27. Berlin, Heidelberg: Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-642-35344-4_232.

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Jurukovski, D., and O. Jovanović. "System identification as a tool for mathematical modelling in earthquake engineering." In Structural Dynamics, 413–18. London: Routledge, 2022. http://dx.doi.org/10.1201/9780203738085-59.

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De, Ajit. "Study on Some Recent Earthquakes of Sikkim Himalayan Region and Construction of Suitable Seismic Model: A Mathematical Approach." In Lecture Notes in Mechanical Engineering, 17–28. Singapore: Springer Singapore, 2019. http://dx.doi.org/10.1007/978-981-15-0287-3_2.

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Paskalov, T., M. Velkov, and D. Jukukovski. "Latest Achievements in Earthquake Engineering." In Zeitschrift für Angewandte Mathematik und Mechanik Volume 66, Number 4, 18–24. De Gruyter, 1986. http://dx.doi.org/10.1515/9783112550922-004.

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Conference papers on the topic "Earthquake engineering – Mathematics"

1

Hayakawa, Masashi. "Earthquake prediction with electromagnetic phenomena." In PROGRESS IN APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING PROCEEDINGS. AIP Publishing LLC, 2016. http://dx.doi.org/10.1063/1.4941201.

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Ismail, Zaleha, Fathin Munirah Mohamad, Hafizah Harun, Nur Amira Muda, and Yudariah Mohamad Yusof. "Integrated Science, Technology, Engineering, Mathematics Learning in Natural Disaster Earthquake among Form Two Students." In 2017 7th World Engineering Education Forum (WEEF). IEEE, 2017. http://dx.doi.org/10.1109/weef.2017.8467084.

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Tsai, C. S., Tsu-Cheng Chiang, Bo-Jen Chen, Wen-Shin Chen, and Shih-Hsien Yu. "Component Test and Mathematical Modeling of Advanced Unbounded Brace." In ASME/JSME 2004 Pressure Vessels and Piping Conference. ASMEDC, 2004. http://dx.doi.org/10.1115/pvp2004-2958.

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The energy absorbing devices have been recognized as effective tools for dissipating the earthquake-induced energy during earthquakes. Several kinds of metallic-yielding, viscous and friction dampers have been proposed, tested and adopted in engineering applications in recent years. In this study, results from experimental and numerical studies of an advanced unbounded brace, or named as the advanced buckling restrained brace (advanced BRB), have been introduced. The experimental results from the component tests under cyclic loadings show that the proposed device possesses good stability and durability in mechanical behavior. Results from numerical studies of a 10-storey steel structure with proposed devices subjected to different earthquakes show that the advanced BRB can lessen the column shear forces as well as the storey drifts of the structure efficiently. Based on this investigation, the proposed isolator can be adopted as an effective tool for enhancing the seismic resistance of structures during earthquakes.

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Oh, Jinho, Jinbok Choi, and Jeong-Soo Ryu. "A Response Spectrum Approach Using Model Order Reduction for Seismic Analysis." In ASME 2013 Pressure Vessels and Piping Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/pvp2013-97225.

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A response spectrum analysis (RSA) has been widely known as one of the methods used for the purpose of an earthquake-resistant design of a structure in the nuclear industry through evaluating the structural integrity during and after seismic events. Recently, as the structures, systems, and components for the design are massive, complex, and complicate, a considerable amount of computational resources and time is required for applying the RSA. Reduced methods have been considered as important technique to resolve computational resources and time problem. For a few decades, various approximate techniques have been developed to obtain the dynamic characteristic in a reduced manner. This paper adopts the model order reduction (MOR) technique known as the one of various reduction methods. The MOR for solving the large linear system in mathematics has been studied by a number of researchers. The MOR is achieved by applying a projection from a higher-order to a lower-order space using Krylov subspaces generated by the Arnoldi algorithm. It has been extended to engineering applications such as circuit analysis, structural analysis, and multi-scale analysis. However, it has not yet been applied in RSA. The aim of this study is to evaluate applicability of the MOR into RSA. Numerical examples demonstrate that the proposed method saves computational costs effectively with maintaining accuracy. Thus, it is confirmed that the proposed method is valid and applicable in predicting seismic responses.

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Tsai, C. S., Wen-Shin Chen, and Bo-Jen Chen. "Component Tests and Simulation of Advanced Buckling Restrained Braces." In ASME 2006 Pressure Vessels and Piping/ICPVT-11 Conference. ASMEDC, 2006. http://dx.doi.org/10.1115/pvp2006-icpvt-11-93491.

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Recently, the earthquake proof technology has been acknowledged to be able to ensure the safety of the structures effectively during earthquakes. In this paper, two advanced buckling restrained braces (BRBs) that include multi-curved reinforced BRB and simplified reinforced BRB are presented. These two braces not only improve the disadvantages of traditional buckling restrained braces but also are more economic than the traditional ones. In order to understand the behaviors of advanced buckling restrained braces, the component tests of the advanced buckling restrained braces were carried out in the Department of Civil Engineering, Feng Chia University, Taichung, Taiwan. The experimental results illustrate that the behaviors of the advanced buckling restrained braces were very stable, as well as the maximum tension forces are close to the maximum compression forces. Furthermore, the Wen’s model in an increment form was utilized to simulate the behaviors of the advanced buckling restrained braces under cyclic loadings. The comparison between the experimental and numerical results shows that the mathematical model could simulate the behaviors of the advanced BRBs well.

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Kobayashi, Ei-ichi, Kouhei Yurugi, and Shunichi Koshimura. "Evaluations of a Ship Evacuation Maneuver From Tsunami Attack." In ASME 2013 32nd International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/omae2013-10624.

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Huge earthquakes have occurred continuously for at least 1000 years along the Nankai Trough, which is located in the Pacific Ocean off Shikoku Island, Japan. There is great concern over the possible occurrence of huge earthquakes, named Toukai, Tonankai, and Nankai earthquakes, along this trough. A tsunami generated by an earthquake in a coastal area not only raises the sea level, but also creates strong horizontal flows in bays. Any ships in the area are subject to these strong lateral flows. Since these phenomena can make a ship’s movement uncontrollable, subject piers to tremendous forces, slam ships into breakwaters, and set vessels adrift and ground them, it is very important to understand them and the resulting movement of a ship, and to consider possible countermeasures. It is particularly urgent to evaluate the effects of a tsunami on ships carrying hazardous materials, such as VLCCs (Very Large Crude Carriers), sailing near the coast or moored to a jetty, and to consider and evaluate ways of countering these effects. From this viewpoint, basic analyses of a VLCC’s movement resulting from a tsunami are carried out, and then countermeasures for avoiding this motion are investigated. First, this paper describes mathematical models of a tsunami flow and the maneuvers of sailing and moored ships. Next, computer simulations of the evacuation maneuvers of a ship at berth to avoid the effects of a tsunami are discussed. Finally, the paper reports additional simulations of the lateral motion of a ship moored at anchor when a tsunami hits.

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Portioli, Francesco, Lucrezia Cascini, and Raffaele Landolfo. "NON-SMOOTH CONTACT DYNAMICS OF PLANAR MASONRY STRUCTURES USING MATHEMATICAL PROGRAMMING." In 6th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering Methods in Structural Dynamics and Earthquake Engineering. Athens: Institute of Structural Analysis and Antiseismic Research School of Civil Engineering National Technical University of Athens (NTUA) Greece, 2017. http://dx.doi.org/10.7712/120117.5615.17501.

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Wang, Gang, Xin Zhao, and Huaikun Chen. "Seismic Response Analysis for Engineering Structures Equipped with Double Viscous Damper Toggle Brace System." In IABSE Congress, Nanjing 2022: Bridges and Structures: Connection, Integration and Harmonisation. Zurich, Switzerland: International Association for Bridge and Structural Engineering (IABSE), 2022. http://dx.doi.org/10.2749/nanjing.2022.0646.

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<p>The toggle brace viscous damping system has been proved to be an effective motion amplification device, which can amplify the deformation of the damper under wind load and earthquake action, thus significantly improving the energy dissipation efficiency of the damper. In the existing viscous damping system of elbow joint, the damping force will act directly on the floor beam, which often leads to unsatisfied performance of the connected floor beam. Therefore, a double-damper toggle brace device is proposed in this paper, and a mathematical model of geometric parameter optimization of double-damper toggle brace device system is established. According to this mathematical model, a larger displacement amplification factor can be obtained, which is far superior to the existing toggle damping system. Finally, a two-story steel frame model is taken as an example to verify the effectiveness and applicability of the proposed double-damper toggle brace device system.</p>

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Mastan-Zade, Nijat, and Gokhan Yazici. "Dynamic Behaviour of Seismically Isolated Cylindrical Offshore Storage Tanks." In ASME 2005 24th International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2005. http://dx.doi.org/10.1115/omae2005-67284.

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Cylindrical offshore storage tanks are mainly used to store critical liquids such as petroleum and LNG. Failure of these tanks after an earthquake not only results in high financial losses but can also create an environmental disaster as well. Seismic isolation technique has been utilized in this study to mitigate the damaging effects of lateral earthquake forces. In this study, seismic isolation is used in cylindrical offshore storage tanks. Seismic isolators are protected from the marine environment by a water-proof flexible membrane that allows the horizontal movement of the tank. The mathematical model takes the following into account: mass of the stored liquid, added mass of the water surrounding the tank, horizontal stiffness and damping of the isolation system. Internal forces due to the hydrostatic and hydrodynamic forces acting on the system during an earthquake have been calculated by using the shell-moment theory. The results of the analyses are compared for both the isolated and fixed-base tanks.

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Kobayashi, Eiichi, Kouhei Yurugi, and Shunichi Koshimura. "Tsunami Attack Evaluation and Countermeasures for Moored Small Ships in a Port." In ASME 2011 30th International Conference on Ocean, Offshore and Arctic Engineering. ASMEDC, 2011. http://dx.doi.org/10.1115/omae2011-49800.

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There is increasing concern over the possibility of the occurrence of huge Toukai, Tonankai, and Nankai earthquakes in the Nankai Trough, located in the Pacific Ocean off Japan. It is estimated that there is a 50% probability of a tsunami being generated by an earthquake in this area over the next 30 years. A tsunami attack on the coast of Japan would not only increase the sea level, but would also create strong horizontal flows in bays and ports. In particular, along the coastal area of Osaka Bay, Japan, there are numerous small ports where pleasure ships and/or fishery boats are moored. Any small ships moored in these ports would be subject to violent motion by strong lateral flows, even if they are moored to each other. As a consequence, the mooring lines would be cut, ships would move uncontrollably, and causing damage to facilities. Thus, it is very important from the viewpoint of marine-disaster prevention to gain a better understanding of the motion of small vessels originating in tsunami flows and to develop countermeasures in the face of a tsunami attack. In this paper, basic analyses of the ship motions resulting from a tsunami attack are carried out, and possible countermeasures are investigated. First, we describe mathematical models approximating the flow of tsunami and the abrupt maneuvers of relatively small vessels while being moored. Next, numerical simulations of the lateral motion of moored ships resulting from a tsunami attack on a fishery port located in the Osaka Bay are carried out. Additionally, the possibility of relatively high tension to be generated along the mooring lines is evaluated. Finally, the results of computer simulations demonstrate that such hazardous phenomena can be addressed with appropriate countermeasures.

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