An approximate method is presented for determining the dynamical response of certain continuous nonlinear systems. In the proposed method, the system equation is linearized in the time domain prior to generation of a solution in the spatial domain. The approach is particularly suited to problems with complex boundary conditions which make selection of realistic global, spatial, domain comparison functions difficult. The approach is ideally suited to problems where discretization using finite elements is appropriate. The transverse response of a nonlinear rectangular plate is examined by way of the application of the proposed method.
Skip Nav Destination
Equivalent Linearization for Continuous Dynamical Systems
W. D. Iwan,
W. D. Iwan
California Institute of Technology, Pasadena, Calif.
C. M. Krousgrill, Jr.
Purdue University, West Lafayette, Ind.
Iwan, W. D., and Krousgrill, C. M., Jr. (June 1, 1983). "Equivalent Linearization for Continuous Dynamical Systems." ASME. J. Appl. Mech. June 1983; 50(2): 415–420. https://doi.org/10.1115/1.3167053
Download citation file:
Get Email Alerts
A Noncontact Method for Estimating Thin Metal Film Adhesion Strength Through Current-Induced Void Growth
J. Appl. Mech (April 2024)