Premium
Second‐order design sensitivity analysis of mechanical system dynamics
Author(s) -
Haug Edward J.,
Ehle Paul E.
Publication year - 1982
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620181109
Subject(s) - sensitivity (control systems) , nonlinear system , quadratic equation , simple (philosophy) , control theory (sociology) , variable (mathematics) , mathematics , mechanical system , mathematical optimization , computer science , mathematical analysis , engineering , physics , geometry , philosophy , control (management) , epistemology , quantum mechanics , electronic engineering , artificial intelligence
Dependence of dynamic response of nonlinear mechanical systems on design variables is analysed. An adjoint variable method is used to derive first‐ and second‐order derivatives of measures of dynamic response with respect to design variables. A computational algorithm is presented for numerical calculation of first and second design derivatives. A simple oscillator example is solved analytically and by the adjoint variable method, with identical results. A burst fire automatic weapon mechanism with linear and nonlinear damping is treated numerically. It is shown that quadratic appriximations of dynamic response, using results of second‐order design sensitivity analysis, can be substantially better than conventional linear approximations.