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Автор: Grafiati

Опубліковано: 11 вересня 2023

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1

K. Naga Sri Lakshmi and S Naveen Kumar. "Linear and Non-Linear Static Analysis of Berthing Structure." International Journal for Modern Trends in Science and Technology 06, no. 09 (October 12, 2020): 13–18. http://dx.doi.org/10.46501/ijmtst060903.

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Rapid growth in the water transport system demands the construction of more port and harbour structures.Berthing structures are constructed in ports and harbours to provide facilities such as berthing and mooring of vessels, loading and unloading of cargo and embarking and disembarking of passengers. Quays, wharfs, piers, jetties and dolphins are the most widely used berthing structures. In this project, linear and non-linear static analysis berthing structure module is studied. The basic data influence factors which affected the berthing structure were taken into consideration, such as soil characteristics of the proposed location, environmental conditions and range of traffic which will be used in the project is generally taken from Visakhapatnam port. The entire Berth length is 506.4m which is divided into 10 modules and each module length is 50.640m and width of the berth is 33.450m. The Berth has been analyzed by using STAAD Pro Software. After performing the linear and non-linear static analysis of the berthing structure module the behaviour of the structural elements is compared by various parameters deflection, bending moments, shear forces of cross beam, long beam, crane beam, front crane beam, retaining beam and also for the different piles. The axial forces variations of different piles are also studied.

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2

Ingle, Prashant G., and Vijaykumar P. Bhusare. "Performance Based Seismic Design of Reinforced Concrete Building By Non-Linear Static Analysis." Journal of Advances and Scholarly Researches in Allied Education 15, no. 2 (April 1, 2018): 340–44. http://dx.doi.org/10.29070/15/56843.

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3

Van Pelt, Tobin H., and Dennis S. Bernstein. "Non-linear system identification using Hammerstein and non-linear feedback models with piecewise linear static maps." International Journal of Control 74, no. 18 (January 2001): 1807–23. http://dx.doi.org/10.1080/00207170110089798.

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4

D, Santhosh, and N. Jayaramappa. "Non-Linear static analysis of RC frame structure." IOSR Journal of Mechanical and Civil Engineering 11, no. 2 (2014): 78–89. http://dx.doi.org/10.9790/1684-11227889.

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5

He, Xiao Cong. "Comparisons of Linear and Nonlinear FEA of Adhesively Bonded Beams." Advanced Materials Research 1088 (February 2015): 763–68. http://dx.doi.org/10.4028/www.scientific.net/amr.1088.763.

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Анотація:

The effect of boundary conditions on the stress distributions in single-lap adhesively bonded cantilevered beams has been investigated using the three-dimensional linear static and non-linear quasi-static finite element method. The displacement obtained from the linear static and the non-linear quasi-static analyses are compared under the same deformation scale factor for three typical boundary conditions. The analysis results indicate that there are significant differences between the linear static and non-linear quasi-static analyses only if there are significant bending effect on the bonded section. The bigger the bending effect on the bonded section, the bigger the difference between the linear static and non-linear quasi-static analyses.

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6

Kumar,, Sri M. Pavan, and Sateesh Konni. "Effect of Vertical Irregularities of RC Framed Structures by Using Non-Linear Static Analysis." International Journal of Engineering Research 4, no. 11 (November 1, 2015): 631–34. http://dx.doi.org/10.17950/ijer/v4s11/1111.

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7

Lee, Youngmyung, and Gyung-Jin Park. "Non-linear dynamic response structural optimization for frontal-impact and side-impact crash tests." Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering 231, no. 5 (July 18, 2016): 600–614. http://dx.doi.org/10.1177/0954407016658146.

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Анотація:

Vehicle crash optimization is a representative non-linear dynamic response structural optimization that utilizes highly non-linear vehicle crash analysis in the time domain. In the automobile industries, crash optimization is employed to enhance the crashworthiness characteristics. The equivalent-static-loads method has been developed for such non-linear dynamic response structural optimization. The equivalent static loads are the static loads that generate the same displacement field in linear static analysis as those of non-linear dynamic analysis at a certain time step, and the equivalent static loads are imposed as external loads in linear static structural optimization. In this research, the conventional equivalent-static-loads method is expanded to the crash management system with regard to the frontal-impact test and a full-scale vehicle for a side-impact crash test. Crash analysis frequently considers unsupported systems which do not have boundary conditions and where adjacent structures do not penetrate owing to contact. Since the equivalent-static-loads method uses linear static response structural optimization, boundary conditions are required, and the impenetrability condition cannot be directly considered. To overcome the difficulties, a problem without boundary conditions is solved by using the inertia relief method. Thus, relative displacements with respect to a certain reference point are used in linear static response optimization. The impenetrability condition in non-linear analysis is transformed to the impenetrability constraints in linear static response optimization.

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8

Kearns, C. F., and G. McConnell. "Interactive microcomputer programs for linear and non-linear static analysis of frameworks." Advances in Engineering Software (1978) 8, no. 4 (October 1986): 190–93. http://dx.doi.org/10.1016/0141-1195(86)90058-6.

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9

Bhavani Chowdary, T., G. Pujitha, and N. Srujana. "Non linear static analysis of stiffness irregular RC structures." IOP Conference Series: Earth and Environmental Science 1086, no. 1 (September 1, 2022): 012004. http://dx.doi.org/10.1088/1755-1315/1086/1/012004.

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Abstract Vertical structures exhibit flexibility than ordinary structures and also they show sensitivity in earthquake excitation. As per the safety standards of construction, structures are built with simple and uniform configurations. Focusing on aesthetic view of these vertical structures, discontinuity in stiffness occurs there by resulting in soft storey. this feature is highly undesirable in buildings especially in seismic active zones. However soft storey cause large deformations at the junction of building lead a greater failure for life and property. An attempt has been made to predict seismic performance of these structures considering G+ 14 storeys. Developing soft storey at base and mid level of G+14 structure and evaluating its seismic performance under non linear static analysis by using SAP2000. A comparative study is made based on, with and without soft storey of G+14 structure and results are tabulated.

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10

Qiao, Hongdong, Weidong Ruan, Zhaohui Shang, and Yong Bai. "Non-linear Static Analysis of Offshore Steep Wave Riser." MATEC Web of Conferences 65 (2016): 01009. http://dx.doi.org/10.1051/matecconf/20166501009.

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11

Fu, Feng. "Non-linear static analysis and design of Tensegrity domes." Steel and Composite Structures 6, no. 5 (October 25, 2006): 417–33. http://dx.doi.org/10.12989/scs.2006.6.5.417.

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12

Patil, S. S., and S. S. Lonawat. "The Non Linear Static Pushover Analysis of RCC Frames." Asian Review of Civil Engineering 1, no. 1 (May 5, 2012): 25–29. http://dx.doi.org/10.51983/tarce-2012.1.1.2178.

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Анотація:

As the Developing countries move towards the implementation of Performance Based engineering philosophies in seismic design of civil structures, new seismic design provisions will require structural engineers to perform nonlinear analyses of the structures they are designing. These analyses can take the form of a full nonlinear dynamic analysis, or static nonlinear Pushover Analysis. Because of the computational time required to perform a full nonlinear dynamic analysis, the Pushover Analysis, if deemed applicable to the structure at hand, For this reason, there is a need for easy to use and accurate, nonlinear Pushover Analysis. The loads are increased until the peak response of the structure is obtained on a base shear Vs. roof displacement plot. From this plot, and other parameters representing the expected or design earthquake the maximum deformations the structure is likely to undergo during the design seismic event can be estimated.

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13

Karim, A., C. Sueur, and G. Dauphin-Tanguy. "Non-regular static state feedback for linear bond graph models." Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering 217, no. 2 (March 1, 2003): 61–71. http://dx.doi.org/10.1177/095965180321700201.

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In this paper, non-regular static state feedback solutions of the row-by-row decoupling problem (RBRDP) with stability are investigated by the bond graph approach for the class of non-square linear models. More precisely, the aim is to study the problem of the non-regular static state feedback designing, firstly, when the model is not decouplable with a regular static state feedback and, secondly, when the model is decouplable with a regular static state feedback but not with stability. The bond graph methodology is used in order to characterize the structure of non-square models and the modification of the infinite structure that arises when a regular control law cannot exist. A new graphical methodology is proposed. Finally, when row-by-row decoupling with stability is possible for non-square bond graph models, a formal expression of the control is given using simultaneously the bond graph and the geometric approaches.

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14

Li, Erbo, Zhijing Zhang, Zifu Wang, Xiao Chen, and Tingyu Zhang. "Experimental Method Research on Non-linear Characteristics of Static Friction Coefficient to Temperature." Journal of Physics: Conference Series 2417, no. 1 (December 1, 2022): 012004. http://dx.doi.org/10.1088/1742-6596/2417/1/012004.

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The temperature difference in the working range of precision instruments is large, and the change in temperature causes the static friction coefficient between the internal assembly contact surfaces to change. The change of the static friction coefficient will cause asymmetric displacement of the contact surface, which will affect the accuracy and stability of the instrument during operation. In order to study the non-linear variation law of the static friction coefficient under different temperature conditions, this paper proposes a method to measure the static friction coefficient at different temperatures accurately and designs and develops the corresponding static friction coefficient measuring device. The static friction coefficient of a typical steel-steel contact surface was measured from 20°C to 80°C using the static friction coefficient measuring device. It was found to be non-linear with increasing temperature, with the average static friction coefficient changing by about 5% at a temperature difference of 60°C. Based on the experimental data, a simulation study on the effect of non-linear variation of static friction coefficient at different temperatures was conducted using a simulated sample of a gyroscope assembly structure, and it was found that the asymmetric deformation of the assembly structure caused by the variation of static friction coefficient will be one of the factors causing the change of gyroscope accuracy stability. This research has important implications for maintaining and optimizing precision instrumentation accuracy stability.

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15

Magliulo, Gennaro, Giuseppe Maddaloni, and Edoardo Cosenza. "Comparison between non-linear dynamic analysis performed according to EC8 and elastic and non-linear static analyses." Engineering Structures 29, no. 11 (November 2007): 2893–900. http://dx.doi.org/10.1016/j.engstruct.2007.01.027.

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16

Pulatsu, Bora, Vasilis Sarhosis, Eduardo M. Bretas, Nikolaos Nikitas, and Paulo B. Lourenço. "Non-linear static behaviour of ancient free-standing stone columns." Proceedings of the Institution of Civil Engineers - Structures and Buildings 170, no. 6 (June 2017): 406–18. http://dx.doi.org/10.1680/jstbu.16.00071.

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17

Karataş, E. Eylem, and R. Faruk Yükseler. "Non-Linear Behavior of Spherical Shells under Static Ring Loads." Applied Mechanics and Materials 835 (May 2016): 583–90. http://dx.doi.org/10.4028/www.scientific.net/amm.835.583.

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The present study investigates the non-linear behavior of spherical shells under the influence of static circular ring loads. It is assumed that the material is isotropic and linearly elastic. The differential equations comprising the equilibrium equations, constitutive laws and kinematic equations are converted into non-linear algebraic equations by employing the method of finite differences. Respective non-linear algebraic equations are solved numerically by using the Newton–Raphson Method. The curves pertaining to the circular ring load versus the deflection at the application point of the ring load and the circular ring load versus the deflection at the apical point of the shell are plotted and compared for various shell radius/thickness ratios and parallel circle radii values.

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18

Wang, Gang, Norman M. Wereley, and Thomas Pillsbury. "Non-linear quasi-static model of pneumatic artificial muscle actuators." Journal of Intelligent Material Systems and Structures 26, no. 5 (May 12, 2014): 541–53. http://dx.doi.org/10.1177/1045389x14533430.

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19

Lu, Xiao-Yun, and Sarah K. Spurgeon. "Robustness of static sliding mode control for non-linear systems." International Journal of Control 72, no. 15 (January 1999): 1343–53. http://dx.doi.org/10.1080/002071799220155.

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20

Pothin, R. "Block decoupling of non-linear systems by static measurement feedback." International Journal of Control 76, no. 2 (January 2003): 178–84. http://dx.doi.org/10.1080/0020717031000079364.

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21

Muscat, M., D. Mackenzie, and R. Hamilton. "Evaluating shakedown under proportional loading by non-linear static analysis." Computers & Structures 81, no. 17 (August 2003): 1727–37. http://dx.doi.org/10.1016/s0045-7949(03)00181-0.

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22

Naboulsi, S. K., and A. N. Palazotto. "Non-linear static–dynamic finite element formulation for composite shells." International Journal of Non-Linear Mechanics 38, no. 1 (January 2003): 87–110. http://dx.doi.org/10.1016/s0020-7462(01)00049-x.

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23

Kolli, M., and K. Chandrashekhara. "Non-linear static and dynamic analysis of stiffened laminated plates." International Journal of Non-Linear Mechanics 32, no. 1 (January 1997): 89–101. http://dx.doi.org/10.1016/s0020-7462(96)00016-9.

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24

Ismail, A. "Non linear static analysis of a retrofitted reinforced concrete building." HBRC Journal 10, no. 1 (April 2014): 100–107. http://dx.doi.org/10.1016/j.hbrcj.2013.07.002.

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25

Kaldhone, Prachi Dattatray. "Constant Displacement Iteration Algorithm for Non-Linear Static Pushover Analysis." International Journal for Research in Applied Science and Engineering Technology 10, no. 10 (October 31, 2022): 1119–31. http://dx.doi.org/10.22214/ijraset.2022.47145.

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Abstract: The paper presents formulation and implementation of a new static push-over analysis algorithm for the seismic rehabilitation of structure, in accordance with “NEHRP Guidelines for the Seismic Rehabilitation of Buildings”. The concept of non-linear pushover analysis is described and one problem of steel structure with piping racks are examined. Earlier work contributed pushover analysis by controlled node method. Here we go with the different method with new problem statement. The sample structure is steel framed structure with piping racks with the G+10 story building. The final results give us the target displacement.

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26

Upadhyay, A. K., and K. K. Shukla. "Non-linear static and dynamic analysis of skew sandwich plates." Composite Structures 105 (November 2013): 141–48. http://dx.doi.org/10.1016/j.compstruct.2013.05.007.

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27

He, Xiao Cong, and Yu Qi Wang. "Three-Dimensional Non-Linear FE Analysis of Shear Stress Distributions in Adhesively Bonded Joint." Advanced Materials Research 893 (February 2014): 690–93. http://dx.doi.org/10.4028/www.scientific.net/amr.893.690.

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Анотація:

The aim of this work is to investigate the shear stress distributions across the adhesive layer thickness in single-lap adhesively bonded joint. The shear stress distributions of a single-lap adhesively bonded joint have been investigated using the three-dimensional linear static and non-linear quasi-static finite element method. The analysis results indicate that there are significant differences between the linear static and non-linear quasi-static analyses. The results also show that the maximum value of the shear stress component S13occurs at the centre line while the maximum of the shear stress components S12and S23occur near or at the left-rear corner of the adhesive layer.

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28

Peña, Fernando, and Miguel Meza. "Seismic Assessment of Bell Towers of Mexican Colonial Churches." Advanced Materials Research 133-134 (October 2010): 585–90. http://dx.doi.org/10.4028/www.scientific.net/amr.133-134.585.

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The seismic assessment of bell towers of churches built during the colonial period in Mexico is studied. Two representative typologies of churches of the southwest of Mexico are considered. The results of non-linear static and the non-linear dynamic analyses are compared. The results show that it is not recommended the use of non-linear static analyses; being necessary the use of full non-linear dynamic analyses.

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29

CHUNG, S. T., and J. W. GRIZZLE. "Internally exponentially stable non-linear discrete-time non-interacting control via static feedback." International Journal of Control 55, no. 5 (May 1992): 1071–92. http://dx.doi.org/10.1080/00207179208934273.

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30

Park, Gyung-Jin. "Technical overview of the equivalent static loads method for non-linear static response structural optimization." Structural and Multidisciplinary Optimization 43, no. 3 (July 17, 2010): 319–37. http://dx.doi.org/10.1007/s00158-010-0530-x.

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31

da Silva, Luis C. M., and Gabriele Milani. "A FE-Based Macro-Element for the Assessment of Masonry Structures: Linear Static, Vibration, and Non-Linear Cyclic Analyses." Applied Sciences 12, no. 3 (January 25, 2022): 1248. http://dx.doi.org/10.3390/app12031248.

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A Finite Element (FE) based macro–element is described for the mechanical response of masonry structures within different ranges of analysis. The macro–element is composed of discrete rigid quadrilateral FE plates whose adjoining interfaces are connected through FE trusses. It allows representing both elasticity and strength orthotropy, full material nonlinearity and damage through a scalar–based model. The possibility of coupling with a so–called FE2 (multi–scale) strategy is also addressed. Validation of the macro–element is conducted within linear static, vibration, and cyclic (nonlinear) problems, in which both static and dynamic ranges are explored. Results are compared with those retrieved from traditional FE continuous models. Advantages are highlighted, as well as its robustness to cope with convergence issues and suitability to be applied within more general and larger–scale scenarios, such as the analysis of anisotropic materials subjected to static and dynamic loading. Formal details are given for its reproducibility by academics and practitioners—eventually within other FE platforms—as the improved running times may be of utmost importance in dynamic problems or highly nonlinear (material) quasi–static analysis.

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32

Gowtham, S., M. Prakash, N. Parthasarathi, K. S. Satyanarayanan, and V. Thamilarasu. "2D-Linear static and non-linear dynamic progressive collapse analysis of reinforced concrete building." Materials Today: Proceedings 5, no. 2 (2018): 8775–83. http://dx.doi.org/10.1016/j.matpr.2017.12.305.

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33

Di Egidio, Angelo, Angelo Luongo, and Achille Paolone. "Linear and non-linear interactions between static and dynamic bifurcations of damped planar beams." International Journal of Non-Linear Mechanics 42, no. 1 (January 2007): 88–98. http://dx.doi.org/10.1016/j.ijnonlinmec.2006.12.010.

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34

Ishida, H., and A. Liebsch. "Linear and non-linear response of stepped metal surfaces to a static electric field." Surface Science 297, no. 1 (November 1993): 106–11. http://dx.doi.org/10.1016/0039-6028(93)90020-k.

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35

Den Bosch, P. p. j. "Optimal Static Dispatch With Linear, Quadratic and Non-Linear Functions of the Fuel Costs." IEEE Transactions on Power Apparatus and Systems PAS-104, no. 12 (December 1985): 3402–8. http://dx.doi.org/10.1109/tpas.1985.318869.

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36

CORBERI, FEDERICO, NICOLA FUSCO, EUGENIO LIPPIELLO, and MARCO ZANNETTI. "NON-TRIVIAL BEHAVIOR OF THE LINEAR RESPONSE FUNCTION IN PHASE ORDERING KINETICS." International Journal of Modern Physics B 18, no. 04n05 (February 20, 2004): 593–605. http://dx.doi.org/10.1142/s0217979204024215.

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Drawing from exact, approximate and numerical results an overview of the properties of the out of equilibrium response function in phase ordering kinetics is presented. Focusing on the zero field cooled magnetization, emphasis is on those features of this quantity which display non trivial behavior when relaxation proceeds by coarsening. Prominent among these is the dimensionality dependence of the scaling exponent aχ which leads to failure of the connection between static and dynamic properties at the lower dimensionality dL, where aχ=0. We also analyse the mean spherical model as an explicit example of a stochastic unstable system, for which the connection between statics and dynamics fails at all dimensionalities.

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37

DE CANDIA, ANTONIO, ANNALISA FIERRO, and ANTONIO CONIGLIO. "DYNAMICAL NON-LINEAR SUSCEPTIBILITY OF THE QUENCHED AND ANNEALED FRUSTRATED LATTICE GAS MODELS." Fractals 11, supp01 (February 2003): 99–107. http://dx.doi.org/10.1142/s0218348x03001768.

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In this paper we study the 3D frustrated lattice gas model in the quenched and annealed versions. In the first case, the dynamical non-linear susceptibility grows monotonically as a function of time, until reaching a plateau that corresponds to the static value. The static non-linear susceptibility diverges at some density, signaling the presence of a thermodynamical transition. In the annealed version, where the disorder is allowed to evolve in time with a suitable kinetic constraint, the thermodynamics of the model is trivial, and the static non-linear susceptibility does not show any singularity. Nevertheless, the model shows a maximum in the dynamical non-linear susceptibility at a characteristic value of the time. Approaching the density corresponding to the singularity of the quenched model, both the maximum and the characteristic time diverge. We conclude that the critical behavior of the dynamical susceptibility in the annealed model is related to the divergence of the static susceptibility in the quenched case. This suggests a similar mechanism also in supercooled glass-forming liquids, where an analogous behavior in the dynamical non-linear susceptibility is observed.

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38

Ahmed, Zuber, and Esar Ahmed. "Non-Linear Analysis of Cable Stayed Bridges." International Journal of Emerging Research in Management and Technology 6, no. 9 (June 24, 2018): 36. http://dx.doi.org/10.23956/ijermt.v6i9.82.

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Анотація:

The concept of cable-stayed bridges dates back to the seventeenth century. Due to their aesthetic appearance, efficient utilization of material, and availability of new construction technologies, cable-stayed bridges have gained much popularity in the last few decades. After successful construction of the Sutong Bridge, a number of bridges of this type have been proposed and are under construction, which calls for extensive research work in this field. Nowadays, very long span cable-stayed bridges are being built and the ambition is to further increase the span length using shallower and slender girders. In order to achieve this, accurate procedures need to be developed which can lead to a thorough understanding and a realistic prediction of the bridge’s structural response under different load conditions.In the present study, an attempt has been made to analyze the seismic response of cable stayed bridges with single pylon and two equal side spans. This study has made an effort to analyze the effect of both static and dynamic loadings on cable-stayed bridges and corresponding response of the bridge with variations in span length, pylon height and pylon shape. Comparison of static analysis results have been made for different configuration of bridges - their mode shapes, time period, frequency, pylon top deflection, maximum deck deflection; and longitudinal reaction, lateral reaction and longitudinal moment at pylon bottom. Time history analysis results have been investigated for different configuration of bridges under the effects of three earthquakes response spectrum (Bhuj, El Centro and Uttarkashi) - axial forces in stay cables, deck deflections and stress diagrams at maximum peak ground acceleration of the above mentioned earthquakes.

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39

Park, Ki-Jong, and Gyung-Jin Park. "Structural Optimization for Non-Linear Behavior Using Equivalent Static Loads (I)." Transactions of the Korean Society of Mechanical Engineers A 29, no. 8 (August 1, 2005): 1051–60. http://dx.doi.org/10.3795/ksme-a.2005.29.8.1051.

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40

Citroni, M., S. Fanetti, P. Foggi, and R. Bini. "Non-linear optical properties of molecular systems under high static pressures." Journal of Physics: Conference Series 500, no. 2 (May 7, 2014): 022003. http://dx.doi.org/10.1088/1742-6596/500/2/022003.

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41

Roel Ortiz, J. L., N. Sadowski, P. Kuo-Peng, N. J. Batistela, and J. P. A. Bastos. "Coupling static converter with control loop and non-linear electromagnetic devices." IEEE Transactions on Magnetics 37, no. 5 (2001): 3514–17. http://dx.doi.org/10.1109/20.952650.

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O K, Aswathi, and Anita S. "Non Linear Static Analysis of Multi-storeyed Special Moment Resisting Frames." International Journal of Civil Engineering 3, no. 8 (August 25, 2016): 18–22. http://dx.doi.org/10.14445/23488352/ijce-v3i8p104.

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43

Bergan, Pál G., Egil Mollestad, and Nils Sandsmark. "Non‐linear static and dynamic response analysis for floating offshore structures." Engineering Computations 2, no. 1 (January 1985): 13–20. http://dx.doi.org/10.1108/eb023596.

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Mounier, H., and J. Rudolph. "Flatness and quasi-static state feedback in non-linear delay systems." International Journal of Control 81, no. 3 (March 2008): 445–56. http://dx.doi.org/10.1080/00207170701579437.

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45

Gonzalez-Drigo, R., J. Avila-Haro, L. G. Pujades, and A. H. Barbat. "Non-linear static procedures applied to high-rise residential URM buildings." Bulletin of Earthquake Engineering 15, no. 1 (June 15, 2016): 149–74. http://dx.doi.org/10.1007/s10518-016-9951-2.

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46

Mahony, R., I. Mareels, G. Bastin, and G. Campion. "Static-state feedback laws for output regulation of non-linear systems." Control Engineering Practice 4, no. 7 (July 1996): 1009–14. http://dx.doi.org/10.1016/0967-0661(96)00100-1.

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47

Londhe, R. S. "Non Linear Static Analysis Of Knee Bracing In Steel Frame Structures." IOSR Journal of Mechanical and Civil Engineering 5, no. 4 (2013): 19–25. http://dx.doi.org/10.9790/1684-0541925.

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Belforte, Gustavo, and Paolo Gay. "Optimal non minimal experiment design for static non linear systems with set-membership errors." IFAC Proceedings Volumes 32, no. 2 (July 1999): 4094–99. http://dx.doi.org/10.1016/s1474-6670(17)56698-7.

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49

Solovev, K. A., E. A. Muravyova, O. I. Soloveva, R. G. Sultanov, and P. N. Charikov. "Simulation of Multidimensional Non-Linear Processes Based on the Second Order Fuzzy Controller." Key Engineering Materials 685 (February 2016): 816–22. http://dx.doi.org/10.4028/www.scientific.net/kem.685.816.

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Анотація:

Fuzzy controller is a multidimensional nonlinear static link. For the fuzzy controller synthesis it is sufficient to determine its desired static characteristic and adjust it so that it coincides with the desired one. The paper describes the synthesis of a multidimensional nonlinear model using the second order fuzzy controller with the required precision.

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50

Gorji, M. "On Large Deflection of Symmetric Composite Plates under Static Loading." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 200, no. 1 (January 1986): 13–19. http://dx.doi.org/10.1243/pime_proc_1986_200_089_02.

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Анотація:

The effect of transverse shear deformation on bending of elastic symmetric laminated composite plates undergoing large deformation (in the Von Karman sense) is considered in the present paper. The non-linear terms of the lateral displacement are considered as an additional set of lateral loads acting on the plate. The solution of a Von Karman type plate is therefore reduced to that of an equivalent plate with small displacements. This method offers an alternative technique for obtaining non-linear solutions to plate problems. The solutions of a number of example problems indicate that the non-linear shear deformation theory results, as expected, in higher values of the lateral displacement than the non-linear solutions from the classical plate theory. The difference in the values of the maximum displacement from both solutions, however, remains essentially constant beyond a certain value of the load. It is also noted that the linear and non-linear solutions deviate at a low value of w/h (w = maximum lateral displacement, h = thickness). Consequently, the extent of w/h within which the small deflection theory is applicable to composite plates is much lower than the value of 0.4 typically used for isotropic plates and depends, in general, upon lamination geometry and the degree of anisotropy.

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