Готові списки джерел за темами / Eigen-structure

Добірка наукової літератури з теми "Eigen-structure"

Автор: Grafiati

Опубліковано: 6 вересня 2023

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Статті в журналах з теми "Eigen-structure"

Chang, Shuenn-Yih. "An Eigen-Based Theory For Structure-Dependent Integration Methods for Nonlinear Dynamic Analysis." International Journal of Structural Stability and Dynamics 20, no. 12 (October 10, 2020): 2050130. http://dx.doi.org/10.1142/s0219455420501308.

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An eigen-based theory for structure-dependent integration methods is constructed and it can provide the fundamental basis for the successful development of this type of integration methods. It is proved that a structure-dependent integration method can simultaneously combine unconditional stability and explicit formulation since it is proposed to accurately integrate low-frequency modes while no instability is guaranteed for high-frequency modes. In general, it is promising for solving inertial problems, where the total response is dominated by low-frequency modes. In addition, it can be explicitly and implicitly implemented for time integration although an explicit implementation is of practical significance since it can save many computational efforts due to the combination of unconditional stability and explicit formulation. A typical procedure to develop structure-dependent integration methods is constructed. In general, a coupled equation of motion for a multiple degree of freedom system can be decomposed into a set of uncoupled modal equations of motion by means of an eigen-decomposition technique. Next, an eigen-dependent integration method is developed to solve each modal equation of motion. Consequently, all the eigen-dependent integration methods are combined to form a structure-dependent integration method by employing a reverse procedure of the eigen-decomposition technique.

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Yu, I. W. "Subspace Iteration for Eigen-Solution of Fluid-Structure Interaction Problems." Journal of Pressure Vessel Technology 109, no. 2 (May 1, 1987): 244–48. http://dx.doi.org/10.1115/1.3264903.

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The subspace iteration method, commonly used for solving symmetric eigenvalue problems in structural dynamics, can be extended to solve nonsymmetric fluid-structure interaction problems in terms of fluid pressure and structural displacement. The two cornerstones for such extension are a nonsymmetric equation solver for the inverse iteration and a nonsymmetric eigen-procedure for subspace eigen-solution. The implementation of a nonsymmetric equation solver can easily be obtained by modifying the existing symmetric procedure; however, the nonsymmetric eigen-solver requires a new procedure such as the real form of the LZ-algorithm. With these extensions the subspace iteration method can solve large fluid-structure interaction problems by extracting a group of eigenpairs at a time. The method can generally be applied to compressible and incompressible fluid-structure interaction problems.

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Morozovskiy, Pavel, Ilya Kulish, Nikita Kryzhanovskii, Vladimir Filatov, and Marina Romanovich. "Eigenfrequency spectrum of the reinforced concrete cantilever beam." E3S Web of Conferences 91 (2019): 02031. http://dx.doi.org/10.1051/e3sconf/20199102031.

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For the calculation of building structures under the influence of external dynamic loads, it is necessary to know the eigen frequencies of the structures themselves in order to prevent such a phenomenon as resonance. Steel has distinctive properties from concrete, so its consideration is necessary to determine the eigen frequency of the whole structure. This article presents the calculation of the cantilever beam analytically and in the software package Abaqus for linear and volumetric problems with the interaction of concrete and reinforcement. Due to the reinforcement, the beam eigen frequencies differ from the eigen frequency of the conventional rigidly fixed rod, as evidenced by the results of the calculation.

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Hu, Xuebin, Hidefumi Kobatake, and Rajalida Lipikorn. "Eigen-structure based near-field wideband sources localization." Acoustical Science and Technology 23, no. 5 (2002): 267. http://dx.doi.org/10.1250/ast.23.267.

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Fa-Long Luo and R. Unbehauen. "Neural Networks for Eigen-Structure Based Signal Processing." IEEE Signal Processing Magazine 14, no. 6 (November 1997): 38–39. http://dx.doi.org/10.1109/msp.1997.637305.

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Choi, Y. S., I. Koltracht, and P. J. McKenna. "On eigen-structure of a nonlinear map in Rn." Linear Algebra and its Applications 399 (April 2005): 141–55. http://dx.doi.org/10.1016/j.laa.2004.09.009.

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Bolla, Marianna. "Modularity spectra, eigen-subspaces, and structure of weighted graphs." European Journal of Combinatorics 35 (January 2014): 105–16. http://dx.doi.org/10.1016/j.ejc.2013.06.019.

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Bramantya Agustiano, Si Gede Ngurah, I. Made Kusuma Negara, and I. Wayan Suardana. "FAKTOR FAKTOR YANG MEMPENGARUHI LAYANAN RESERVASI HOTEL DI PT. BALI MEGAH WISATA TOUR AND TRAVEL." Jurnal IPTA 4, no. 1 (July 1, 2016): 91. http://dx.doi.org/10.24843/ipta.2016.v04.i01.p16.

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This study aims to determine the factors that influence hotel reservation service at Bali Megah Wisata Tour and Travel and a contributing factor dominant in hotel reservation service at Bali Megah Wisata Tour and Travel. The respondents in this study use purposive sampling technique in which the criteria are tourists who have made hotel reservation at Bali Megah Wisata Tour and Travel, with the total sample of 190 respondents. Questionnaires were used to collect data have been tested for validity and reliability. The data analysis which is used to answer the hypothesis of this study is factor analysis. The results of factor analysis showed that 5 factors affecting hotel reservation service at Bali Megah Wisata Tour and Travel are structur and ease of use factor with eigen value 6,492, reputation and security factor with eigen value 2,671, usefulness factor with eigen value 2,497, information content factor with eigen value 1,889 and responsiveness and personalization factor with eigen value 1,059. Structure and ease of use factor is a contributing factor dominant in hotel reservation service at Bali Megah Wisata Tour and Travel.

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Li, Bingbing, Dongguang Xu, Xiaohui Zheng, and Bowen Zheng. "Lateral/Directional Control Law Design for Civil Airplane Based on Eigen Structure Assignment." Journal of Physics: Conference Series 2132, no. 1 (December 1, 2021): 012050. http://dx.doi.org/10.1088/1742-6596/2132/1/012050.

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Abstract Considering disadvantages of lateral/directional mode characteristics of civil aircraft, design requirements are thus presented and the P-Beta control law architecture is adopted for the lateral/directional control law. Meanwhile, the practical application of eigen structure assignment in the design of lateral/directional control law is studied. By eigen structure assignment the closed loop is designed, and the decoupling of roll channel and yaw channel is realized. Through the design of feed-forward command channel, the pilot’s stick control roll rate and pedal control sideslip angle are realized. Simulation results show that the designed lateral/directional flight control law could meet design requirements.

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Shi, Yi Ran, Yan Tao Tian, Hong Wei Shi, and Lan Xiang Zhu. "Method to Estimate and Promote SNR of Covariance Matrix in Array Signal Processing." Applied Mechanics and Materials 397-400 (September 2013): 2156–60. http://dx.doi.org/10.4028/www.scientific.net/amm.397-400.2156.

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Estimation for direction of arrival (DOA) is an important work in array signal processing, and subspace method such as MUSIC algorithm is basic and important in DOA estimation. This paper analyzes the structure of eigen value of variance matrix, and proposes a method to estimate the signal noise ratio (SNR) of the data received by sensor array. With the accurate estimation for SNR, we can estimate the work environment and decide detect threshold for many algorithm. The paper also proposes a method to promote the SNR of covariance matrix with moving the covariance slice to do DOA estimation. It can efficiently widen the difference of signal eigen value and noise eigen value.

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Більше джерел

Дисертації з теми "Eigen-structure"

Kuo, Ping-Heng. "Channel Variations in MIMO Wireless Communication Systems: Eigen-Structure Perspectives." Thesis, University of Canterbury. Electrical and Computer Engineering, 2007. http://hdl.handle.net/10092/1212.

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Many recent research results have concluded that the multiple-input multiple-output (MIMO) wireless communication architecture is a promising approach to achieve high bandwidth efficiencies. MIMO wireless channels can be simply defined as a link for which both the transmitting and receiving ends are equipped with multiple antenna elements. This advanced communication technology has the potential to resolve the bottleneck in traffic capacity for future wireless networks. Applying MIMO techniques to mobile communication systems, the problem of channel fading between the transmitters and receivers, which results in received signal strength fluctuations, is inevitable. The time-varying nature of the mobile channel affects various aspects of receiver design. This thesis provides some analytical methodologies to investigate the variation of MIMO eigenmodes. Although the scope is largely focussed on the temporal variation in this thesis, our results are also extended to frequency variation. Accurate analytical approximations for the level crossing rate (LCR) and average fade duration (AFD) of the MIMO eigenmodes in an independent, identically distributed (i.i.d.) flat-fading channel are derived. Furthermore, since several channel metrics (such as the total power gain, eigenvalue spread, capacity and Demmel condition number) are all related to the eigenmodes, we also derive their LCRs and AFDs using a similar approach. The effectiveness of our method lies in the fact that the eigenvalues and corresponding channel metrics can be well approximated by gamma or Gaussian variables. Our results provide a comprehensive, closed-form analysis for the temporal behavior of MIMO channel metrics that is simple, robust and rapid to compute. An alternative simplified formula for the LCR for MIMO eigenmodes is also presented with applications to different types of autocorrelation functions (ACF). Our analysis has been verified via Monte Carlo computer simulations. The joint probability density function (PDF) for the eigenvalues of a complex Wishart matrix and a perturbed version of it are also derived in this thesis. The latter version can be used to model channel estimation errors and variations over time or frequency. Using this PDF, the probabilities of adaptation error (PAE) due to feedback delay in some adaptive MIMO schemes are evaluated. In particular, finite state Markov chains (FSMC) have been used to model rate-feedback system and dual-mode antenna selection schemes. The PDF is also applied to investigate MIMO systems that merge singular value decomposition (SVD)-based transceiver structure and adaptive modulation. A FSMC is constructed to investigate the modulation state entering rates (MSER), the average stay duration (ASD), and the effects of feedback delay on the accuracy of modulation state selection in mobile radio systems. The system performance of SVD-based transceivers is closely related to the quality of the channel information at both ends of the link. Hence, we examine the effect of feedback time delay, which causes the transmitter to use outdated channel information in time-varying fading channels. In this thesis, we derive an analytical expression for the instantaneous signal to interference plus noise ratio (SINR) of eigenmode transmission with a feedback time delay. Moreover, this expression implies some novel metrics that gauge the system performance sensitivity to time-variations of the steering vectors (eigenvectors of the channel correlation matrix) at the transmitter. Finally, the fluctuation of the channel in the frequency domain is of interest. This is motivated by adaptive orthogonal frequency division multiplexing (OFDM) systems where the signalling parameters per subcarriers are assigned in accordance with some channel quality metrics. A Gaussian distribution has been suggested to approximate the number of subcarriers using certain signalling modes (such as outage/transmission and diversity/multiplexing), as well as the total data rates, per OFDM realization. Additionally, closed-form LCRs for the channel gains (including the individual eigenmode gains) over frequency are also derived for both single-input single-output (SISO) and MIMO-OFDM systems. The corresponding results for the average fade bandwidth (AFB) follow trivially, These results may be useful for system design, for example by calculating the feedback overheads based on subcarrier aggregation.

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Chiu, Chun-Hsiang, and 邱春祥. "Integration of Eigen-structure Assignment and LEQG/LTR for satellite attitude control." Thesis, 2002. http://ndltd.ncl.edu.tw/handle/14253158993944386237.

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碩士
中華大學
機械與航太工程研究所
91
Abstract In this thesis, both EigenStructure Assignment (ESA) and Linear Exponential Quadratic Gaussian and Loop Transfer Recovery (LEQG/LTR) techniques are unified and applied for the design of a spinning type satellite with Double Gimbals Single Rotor-Control Moment Gyro (DGSR-CMG). For a multivariable system, the response is characterized by both eigenvalues and eigenvector. In addition, the optimal control gain obtained by the LEQG/LTR method can take the covariance of both system and measurement noises into consideration, the proposed method is more robust. By the combination of both ESA and LEQG/LTR control design methods, the control system can simultaneously provide prescribed stability and optimal performance. This paper also derives the algorithms that can take all the time domain, frequency domain, and robust decoupling design techniques into a unified method. Finally, numerical results will show that the proposed method is more robust to disturbance, sensor noise, and parameter variations. In addition, the time domain responses are also better. Keywords: EigenStructure Assignment, Linear Exponential Quadratic Gaussian, Loop Transfer Recovery

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Kolluru, Ramesh. "Novel, Robust and Accurate Central Solvers for Real, Dense and Multicomponent Gases." Thesis, 2019. https://etd.iisc.ac.in/handle/2005/4667.

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The nonlinear convection terms in the governing equations of inviscid compressible fluid flows are nontrivial for modelling and numerical simulation. The traditional Riemann solvers, which are strongly dependent on the underlying eigen-structure of the governing equations. Extension of the existing methods for generalized Equation of State (EOS), to incorporate real gas effects and for multicomponent fluids, is not straight forward as the eigen-structure can become complicated. Objective of the present work is to develop simple algorithms which are not dependent on the eigen-structure and can tackle easily hyperbolic systems with various equations of state. Central schemes with smart diffusion mechanisms are apt for this purpose. For fi xing the numerical diffusion, the basic ideas of satisfying the Rankine-Hugoniot con- ditions along with generalized Riemann invariants are proposed. Two such interesting algorithms are presented, which capture steady contact discontinuity exactly and have minimum numerical diffusion in smooth regions to avoid numerical instabilities. First, an interesting modi cation of a recently developed central solver (Method of Op- timal Viscosity for Enhanced Resolution of Shocks (MOVERS)), based on enforcing Rankine-Hugoniot jump conditions at the discrete level, is presented. The proposed modi cation avoids the wave-speed correction mechanism required for MOVERS and the modi ed algorithm is termed as MOVERS+. Further, a shock sensor is introduced to choose appropriate numerical diffusion in different regions. The second novel algorithm introduced in this thesis is based on selecting the numeri- cal diffusion by utilizing the generalized Riemann invariants. In this Riemann Invariant based Contact-discontinuty Capturing Algorithm (RICCA), additional numerical diffusion is also introduced based on the scaled speed of sound for robustness. Both the algorithms presented are robust in avoiding shock instabilities, are accurate in capturing grid aligned steady contact discontinuities, do not need wave speed corrections and are independent of eigen-strutures of the underlying hyperbolic systems. These algorithms have been tested with perfect gas EOS, stiffened gas, van der Waals and 5th order (5O) Virial EOS and also multicomponent gases. For multicomponent gases, both mass fraction and -based models have been used and are tested for condi- tions which are known to generate pressure oscillations. The proposed algorithms have also been utilized in simulating dense gas flows, in which the non-classical mixed shock- expansion waves and expansion shocks are physical features, due to a change in the sign of the fundamental derivative. These algorithms perform very well, without needing any modi cations for such dense gas flows. Further these numerical methods are also used to simulate viscous flows.

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Wang, Changchun. "On Computing Multiple Solutions of Nonlinear PDEs Without Variational Structure." Thesis, 2012. http://hdl.handle.net/1969.1/ETD-TAMU-2012-05-11171.

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Variational structure plays an important role in critical point theory and methods. However many differential problems are non-variational i.e. they are not the Euler- Lagrange equations of any variational functionals, which makes traditional critical point approach not applicable. In this thesis, two types of non-variational problems, a nonlinear eigen solution problem and a non-variational semi-linear elliptic system, are studied. By considering nonlinear eigen problems on their variational energy profiles and using the implicit function theorem, an implicit minimax method is developed for numerically finding eigen solutions of focusing nonlinear Schrodinger equations subject to zero Dirichlet/Neumann boundary condition in the order of their eigenvalues. Its mathematical justification and some related properties, such as solution intensity preserving, bifurcation identification, etc., are established, which show some significant advantages of the new method over the usual ones in the literature. A new orthogonal subspace minimization method is also developed for finding multiple (eigen) solutions to defocusing nonlinear Schrodinger equations with certain symmetries. Numerical results are presented to illustrate these methods. A new joint local min orthogonal method is developed for finding multiple solutions of a non-variational semi-linear elliptic system. Mathematical justification and convergence of the method are discussed. A modified non-variational Gross-Pitaevskii system is used in numerical experiment to test the method.

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Книги з теми "Eigen-structure"

Pauncz, Ruben. The Construction of Spin Eigen-Functions: An Exercise Book. Springer, 2000.

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Частини книг з теми "Eigen-structure"

Alam, Rafikul. "On Nearest Matrix with Partially Specified Eigen-Structure." In Applied Linear Algebra, Probability and Statistics, 245–72. Singapore: Springer Nature Singapore, 2023. http://dx.doi.org/10.1007/978-981-99-2310-6_13.

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Mahrt, L. "Eigen Structure of Eddies; Continuous Weighting Versus Conditional Sampling." In Non-Linear Variability in Geophysics, 145–51. Dordrecht: Springer Netherlands, 1991. http://dx.doi.org/10.1007/978-94-009-2147-4_9.

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Burke, M. A., A. D. Lucey, R. M. Howell, and N. S. J. Elliott. "Eigen-Analysis of an Inviscid Channel Flow with a Finite Flexible Plate in One Wall." In Fluid-Structure-Sound Interactions and Control, 331–35. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-40371-2_47.

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Ma, Hang, Qing-Hua Qin, and Vladimir Kompiš. "Computational Modal and Solution Procedure for Inhomogeneous Materials with Eigen-Strain Formulation of Boundary Integral Equations." In Composites with Micro- and Nano-Structure, 239–55. Dordrecht: Springer Netherlands, 2008. http://dx.doi.org/10.1007/978-1-4020-6975-8_13.

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Sano, A., H. Ohmori, and M. Furuya. "LEAST SQUARE TYPE OF ADAPTIVE FILTER WITH OPTIMALLY STABILIZED CONVERGENCY BASED ON EIGEN-STRUCTURE APPROACH." In Adaptive Systems in Control and Signal Processing 1989, 443–48. Elsevier, 1990. http://dx.doi.org/10.1016/b978-0-08-035727-0.50080-9.

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Kanthalakshmi, S., M. Raghappriya, and R. Latha. "Fault Tolerant Control Design for Linear Systems with Appropriate Performance Degradation Using Eigen Structure Assignment." In Advanced Aspects of Engineering Research Vol. 10, 34–48. Book Publisher International (a part of SCIENCEDOMAIN International), 2021. http://dx.doi.org/10.9734/bpi/aaer/v10/8038d.

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Eshel, Gidon. "Empirical Orthogonal Functions." In Spatiotemporal Data Analysis. Princeton University Press, 2011. http://dx.doi.org/10.23943/princeton/9780691128917.003.0011.

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This chapter focuses on empirical orthogonal functions (EOFs). One of the most useful and common eigen-techniques in data analysis is the construction of EOFs. EOFs are a transform of the data; the original set of numbers is transformed into a different set with some desirable properties. In this sense the EOF transform is similar to other transforms, such as the Fourier or Laplace transforms. In all these cases, we project the original data onto a set of functions, thus replacing the original data with the set of projection coefficients on the chosen new set of basis vectors. However, the choice of the specific basis set varies from case to case. The discussions cover data matrix structure convention, reshaping multidimensional data sets for EOF analysis, forming anomalies and removing time mean, missing values, choosing and interpreting the covariability matrix, calculating the EOFs, projection time series, and extended EOF analysis.

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Ruban, Anatoly I., Jitesh S. B. Gajjar, and Andrew G. Walton. "Coherent Structures and Self-Sustaining Processes in Shear Flows." In Fluid Dynamics, 268–330. Oxford University PressOxford, 2023. http://dx.doi.org/10.1093/oso/9780198869948.003.0006.

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Abstract A self-sustaining process (SSP) is a series of interactions by which distinguishable flow structures known as rolls and streaks, which would otherwise decay due to the action of viscosity, are maintained by extracting energy from wave disturbances. In turn, the waves are themselves supported by the very structure they help to preserve. For moderate to high Reynolds numbers, these equilibrium solutions correspond to certain coherent states visited by turbulent flows. We investigate the mathematical nature of these states at both finite Reynolds number, and at asymptotically large Reynolds number where it is often referred to as a vortex-wave interaction (VWI). Here the process can be given a rigorous mathematical foundation, with the roll and streak described by a system of nonlinear three-dimensional partial differential equations, and the wave satisfying a nonlinear eigen-value problem. In a particular class of these interactions, the critical layer plays a vital role in the process.

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Jayawardena, Thantirige Sanath Siroshana, and Chandimal Sanjeewa Jayawardena. "Analytical Network Process in Decision Making." In Social Research Methodology and Publishing Results, 180–96. IGI Global, 2023. http://dx.doi.org/10.4018/978-1-6684-6859-3.ch012.

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Analytic Network Process (ANP) is a generalized form of the Analytical Hierarchical Process (AHP). AHP is an objective theory of deriving the decision makings on absolute scale values starting from subjective relative measurements perhaps on tangible or intangible or a mix of both rated by the experts. A consistency measure of the relative ratings is verified with a consistency ratio to assure the ratings of the experts are consistent. The clustering of criteria/sub-criteria with inner and outer dependencies as well as feedback is taken into account in ANP. In ANP rather than a hierarchical process, a network structure is assumed and all nodes in the network are treated equally with interaction between nodes and grouping into clusters. A super-matrix is constructed, then normalized it to get weighted super matrix and raised it to a sufficient power to converge this into a unique eigen vector representing the final weights in limit super-matrix. Step by step iterations of ANP was demonstrated with a selection of car example.

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Chu, C. Y. Cyrus. "Age-Specific Population Models: Steady States and Comparative Statics." In Population Dynamics. Oxford University Press, 1998. http://dx.doi.org/10.1093/oso/9780195121582.003.0007.

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Mainstream demographers studying the pattern of human population are used to classifying people by their ages. In the terminology of branching processes, the type space of the stochastic process is a subset of positive real numbers that characterize human ages. This chapter deals with this case and studies the corresponding steady states and comparative statics. I showed in chapter 2 that the dynamics of any type-specific population structure can be described by the equation Nt = QNt·l and that Q is block-decomposable in the age-specific case. The fact that the northeast block of Q being a zero matrix not only helps us derive the eigen-values and eigenvectors of Q but also helps us characterize the dynamic evolution of the birth size. Let Bt be the size of birth at period t, la = p1 × • • • × pa be the probability that a person can survive to age a, and ma be the average number of births per surviving member aged a. We see that the following accounting identity must hold: which is Lotka’s (1939) well-known renewal equation. is useful for deriving the steady-state age distribution. Given the assumption of a time-invariant fertility function mu, the total size of birth Bt, which is a linear combination of birth sizes of all fertile age groups, naturally grows at a constant rate in the steady state.

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Тези доповідей конференцій з теми "Eigen-structure"

Lei, Hou, Wang Wei-jia, Zhou Xin-er, and Qiu Lin. "The eigen-solution for the micro-structure and macro-structure in non-Newtonian material." In 2012 IEEE Symposium on Robotics and Applications (ISRA). IEEE, 2012. http://dx.doi.org/10.1109/isra.2012.6219125.

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Lytvynenko, L. M., S. L. Prosvirnin, and T. D. Vasilyeva. "Eigen waves of the periodical layered structure of 2-D gratings." In Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory. Proceedings of 4th International Seminar/Workshop. DIPED - 99. IEEE, 1999. http://dx.doi.org/10.1109/diped.1999.822121.

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Ren, Jian, Zhe Li, Jianchao Yang, Ning Xu, Tianbao Yang, and David J. Foran. "EIGEN: Ecologically-Inspired GENetic Approach for Neural Network Structure Searching From Scratch." In 2019 IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR). IEEE, 2019. http://dx.doi.org/10.1109/cvpr.2019.00927.

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Shi, Jianfeng, Jinyang Zheng, and Weican Guo. "Formation Mechanism and Micro-Structure of Eigen-Line in Electrofusion Joints of Polyethylene Pipes." In ASME 2010 Pressure Vessels and Piping Division/K-PVP Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/pvp2010-25574.

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Cold welding is the most dangerous defect in the electro-fusion (EF) joint of polyethylene (PE) pipes. A proprietary method was developed to detect the degree of cold welding by using an Eigen-line which was discovered in our previous study. To understand when, where and how the Eigen-line occurs, the forming mechanism was investigated in this paper. Three factors, i.e., micro-air-bubbles, difference of acoustic impendence of PE in the melted and un-melted region and small-crowded crystals may cause the appearance of the Eigen-line. It was found that the number of Eigen-lines was the same as that of welding times when re-welded with decreasing welding time, and only one Eigen-line could be observed when re-welded with increasing welding time. The result showed that small-crowded crystals may be the dominating factor. This was then verified by the temperature analysis and differential scanning calorimeter (DSC) tests, and the forming process of the small-crowded crystals was discussed in detail.

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Joneidi, M., M. Rahmani, H. B. Golestani, and M. Ghanbari. "Eigen-gap of structure transition matrix: A new criterion for Image Quality Assessment." In 2015 IEEE Signal Processing and Signal Processing Education Workshop (SP/SPE). IEEE, 2015. http://dx.doi.org/10.1109/dsp-spe.2015.7369582.

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Suresh, Krishnan, and Praveen Yadav. "Large-Scale Modal Analysis on Multi-Core Architectures." In ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/detc2012-70281.

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We propose here a subspace augmented Rayleigh-Ritz conjugate gradient method (SaRCG) for solving large-scale eigen-value problems. The method is highly scalable and well suited for multi-core architectures since it only requires sparse matrix-vector multiplications (SpMV). As a specific application, we consider the modal analysis of geometrically complex structures that are discretized via non-conforming voxels. The voxelization process is robust and relatively insensitive to geometric complexity, but it leads to large eigen-value problems, that are difficult to solve via standard eigen-solvers such as block-Lanczos. Such problems are easily solved via the proposed SaRCG, where one can, in addition, exploit the voxelization structure to render the SpMV assembly-free. As the numerical experiments indicate, the resulting implementation on multi-core CPUs, and graphics-programmable-units is a practical solution to automated eigen-value estimation during early stages of design.

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Moradi, Hamed, K. Haji Hajikolaei, Firooz Bakhtiari-Nejad, and Aria Alasty. "Multivariable Control of an Over-Head Crane System Based on Entire Eigen-Structure Assignment." In ASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/detc2010-28246.

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Motion and stabilization control strategies are required to improve positioning accuracy, transportation time and swing angle of an overhead crane system. In this paper, a controller is designed to enhance both efficiency and safety and to extend the system application to other engineering fields. An over-head crane is modeled as a linear time invariant (LTI) system with two degrees of freedom. Trolley position and cable angle are the controlled outputs while the force exerted on trolley and torque on the load are the control inputs of the system. After state-space representation of the problem, feedback control is designed for tracking objective. An increase in the overall speed of the system time response corresponds to an increase in the control signal and leads to additional cost. Therefore, developing a code in MATLAB, eigenvalues and eigenvectors of the system are chosen optimally until an appropriate response is achieved; while the gains of control signal remain small.

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Hračov, Stanislav, and Jiří Náprstek. "STOCHASTIC AND DETERMINISTIC INTERACTION AMONG EIGEN-MODES OF A STRUCTURE EXPOSED TO RANDOM EXCITATION." In 7th 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, 2019. http://dx.doi.org/10.7712/120119.6959.19865.

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Rao, P. Raja Ramana, and Subrata Kumar Datta. "Estimation of conductivity losses in a helix slow-wave structure using eigen-mode solutions." In 2008 IEEE International Vacuum Electronics Conference (IVEC). IEEE, 2008. http://dx.doi.org/10.1109/ivelec.2008.4556452.

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Der Hovanesian, Joseph, Y. Y. Hung, and Paul S. Sherman. "Hybrid Holographic-Numerical Method for Vibration Studies." In ASME 1995 Design Engineering Technical Conferences collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium. American Society of Mechanical Engineers, 1995. http://dx.doi.org/10.1115/detc1995-0727.

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Abstract This paper presents a hybrid experimental-numerical method for studying dynamic characteristic of vibrating structures. A continuous structure is first lumped into a number of discrete elements and its influence coefficients are measured by holographic interferometry. The eigen values and eigen vectors of the lumped system are then calculated. A major adavantage of the hybrid method is that it is not necessary to know material properties and idealize the boundary conditions, as the measured influcence coefficients will automatically reflect the real boundary and the material behaviors.

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