STRUCTURAL COMPUTATIONS WITH THE SINGULAR-VALUE DECOMPOSITION OF THE EQUILIBRIUM MATRIX

被引:345
作者
PELLEGRINO, S
机构
[1] Department of Engineering, University of Cambridge, Cambridge, CB2 1PZ, Trumpington Street
关键词
D O I
10.1016/0020-7683(93)90210-X
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The Singular Value Decomposition of the equilibrium matrix makes it possible to answer any question of a static, kinematic, or static/kinematic nature for any structural assembly, within a unified computational framework. The paper introduces this decomposition, relates it to the physical properties of a given assembly, and derives formulae for stresses, displacements, etc. A simple example illustrates the calculations.
引用
收藏
页码:3025 / 3035
页数:11
相关论文
共 50 条
[31]   ON MULTIPLE PATTERN EXTRACTION USING SINGULAR-VALUE DECOMPOSITION [J].
KANJILAL, PP ;
PALIT, S .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1995, 43 (06) :1536-1540
[32]   Singular-value decomposition for experimental data of dynamical systems [J].
Ma, Junhai ;
Chen, Yushu ;
Liu, Zengrong .
Zhendong Gongcheng Xuebao/Journal of Vibration Engineering, 12 (03) :323-330
[33]   HEMOGLOBIN-OXYGEN EQUILIBRIUM BINDING - RAPID-SCANNING SPECTROPHOTOMETRY AND SINGULAR-VALUE DECOMPOSITION [J].
VANDEGRIFF, KD ;
SHRAGER, RI .
HEMOGLOBINS, PT C, 1994, 232 :460-485
[34]   SINGULAR-VALUE DECOMPOSITION FOR CROSS-WELL TOMOGRAPHY [J].
MICHELENA, RJ .
GEOPHYSICS, 1993, 58 (11) :1655-1661
[35]   Singular-value decomposition and electromagnetic coherence of optical beams [J].
Luo, Meilan ;
Laatikainen, Jyrki ;
Friberg, Ari T. ;
Korotkova, Olga ;
Setala, Tero .
OPTICS LETTERS, 2022, 47 (20) :5337-5340
[36]   Suboptimum CFAR detectors based on singular-value decomposition [J].
Sanz-Gonzalez, J. L. ;
Alvarez-Vaquero, F. ;
Gonzalez-Garcia, J. E. .
ELECTRONICS LETTERS, 2007, 43 (23) :1311-1312
[37]   A PARALLEL ALGORITHM FOR COMPUTING THE GENERALIZED SINGULAR-VALUE DECOMPOSITION [J].
BAI, ZJ .
JOURNAL OF PARALLEL AND DISTRIBUTED COMPUTING, 1994, 20 (03) :280-288
[38]   SINGULAR-VALUE DECOMPOSITION AND THE GRASSBERGER-PROCACCIA ALGORITHM [J].
ALBANO, AM ;
MUENCH, J ;
SCHWARTZ, C ;
MEES, AI ;
RAPP, PE .
PHYSICAL REVIEW A, 1988, 38 (06) :3017-3026
[39]   Computational spectroscopy via singular-value decomposition and regularization [J].
Wang, Peng ;
Menon, Rajesh .
OPTICS EXPRESS, 2014, 22 (18) :21541-21550
[40]   Singular-value decomposition for electromagnetic-scattering analysis [J].
Suryadharma, Radius N. S. ;
Fruhnert, Martin ;
Rockstuhl, Carsten ;
Fernandez-Corbaton, Ivan .
PHYSICAL REVIEW A, 2017, 95 (05)