First and Second Order Sensitivity Derivatives of Mechanical Systems Transfer Matrix
Sensitivity analysis in the frequency domain is considered in the paper. The first and second order sensitivity matrices of the mechanical lumped system are determined utilizing the transfer matrix partial derivatives. Examples presented in the paper show the effects of the parameter variation on amplitude frequency characteristics.
References
E. J. HAUG, B. ROUSSELET, Design sensitivity analysis in structural mechanics. I. Static response variations, J. Struct. Mech., 8, 1, 17-41, 1980.
E. J. HAUG, V. KOMKOV, K. K. CHOI, Design sensitivity analysis of structural systems, Academic Press, Orlando, FL, 1985.
E. J. HAUG, R. WEHAGE, N. C. BARMAN, Design sensitivity analysis of planar mechanism and machine dynamics, ASME J. Mech. Des., 103, 560-570, July 1981.
D. RAY, K. S. PISTER, E. POLAK, Sensitivity analysis for hysteretic dynamic systems: theory and applications, Computer Methods in Appl. Mech. and Eng., 14, 179-208, 1978.
S. D. YOUNG, T. E. SHOUP, The sensitivity analysis of cam mechanism dynamics, ASME J. Mech. Des., 104, 476-481, April 1982.
A. WATARI, S. IWAMOTO, Application of sensitivity analysis to vehicle dynamics, Vehicle System Dynamics, 3, 1-16, 1974.
E. C. MIKULCIK, Application of sensitivity ana lysis to car-trailer stability, ASME J. Dynamic Systems, Measurement and control, 101, 272-274, Sept. 1979.
J. KISILOWSKI, An analysis of parametric sensitivity of the eigenvalues of a linear mathematical model of a mechanical system, Arch. Bud. Masz., 31, 3-4, 201-218, 1984 [in Polish].
C. R RUDISIL, K. G. BHATIA, Second derivatives of the flutter velocity and the optimization of aircraft structures, AIAA J., 10, 1569-1572, 1972.
E. J. HAUG, Second-order design sensitivity analysis of structural systems, AIAA J., 19, 1087-1088, 1981.
E. J. HAUG, P. E. EHLE, Second-order design sensitivity analysis of mechanical system dynamics, Int. J. Numerical Methods in Enging., 18, 1699-1717, 1982.
H. VAN BELLE, Higher order sensitivities in structural systems, AIAA J., 20, 286-288, 1982.
K. DEMS, Z. MRÓZ, Variational approach to first-and second-order sensitivity analysis of elastic structures, Int. J. Numerical Methods in Enging., 21, 637-661, 1985,
J. A. BRANDON, Derivation and significance o second-order modal design sensitivities, AIAA J., 22, 723-724, May 1984.
H. M. ADELMAN, R. T. HAFTKA, Sensitivity analysis of discrete structural systems, AIAA J., 24, 823-832, 1986.
P. M. FRANK, Introduction to system sensitivity theory, Acad. Press, 1978.