Nonlinear dynamic stiffness and substructures

Professor Leung, Andrew Yee Tak   (Principal Investigator)

24

1993-10-01

398000

Nonlinear dynamic stiffness and substructures

null

N/A

HKU 283/93E

General Research Fund (GRF)

1993

Completed

To reduce the number of unknowns in a nonlinear engineering system while capturing the interesting physical significance. In order to do so, we need to begin with Lagrangian formulation, to put the equations in incremental Hamiltonian form, to initiate the singular points by Melnikov functions, to treat the nonconservative parameters by continuation, to deal with symmetry by group theory, to reduce the number of unknowns by the Lyapunov-Smith reduction method, to classify the type of solutions by bifurcation theory (and matrix perturbation), to solve the incremental equations by matrix polynomials, to unfold the boundaries separating different kinds of solutions by vanishing the determinant of the tangential stiffness over the parametric space, and to verify by experiments.