Nonlinear dynamic stiffness and substructures


Grant Data
Project Title
Nonlinear dynamic stiffness and substructures
Principal Investigator
Professor Leung, Andrew Yee Tak   (Principal investigator)
Duration
24
Start Date
1993-10-01
Completion Date
1995-09-30
Amount
398000
Conference Title
Presentation Title
Sponsor
RGC General Research Fund (GRF)
HKU Project Code
HKU 283/93E
Grant Type
General Research Fund (GRF)
Funding Year
1993/1994
Status
Completed
Objectives
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.