Nonlinear Dynamic Analysis by Modal Superposition

1981 ◽  
Vol 107 (12) ◽  
pp. 2325-2336
Author(s):  
Louis F. Geschwindner
Keyword(s):  
Dynamic Analysis ◽  
Nonlinear Dynamic ◽  
Nonlinear Dynamic Analysis ◽  
Modal Superposition

Nonlinear Dynamic Analysis of a Structure Subjected to Multiple Support Motions

1981 ◽  
Vol 103 (1) ◽  
pp. 27-32 ◽  
Author(s):  
V. N. Shah ◽  
A. J. Hartmann
Keyword(s):  
Rigid Body ◽  
Dynamic Analysis ◽  
Nonlinear Dynamic ◽  
Nonlinear Dynamic Analysis ◽  
Rigid Body Motion ◽  
Body Motion ◽  
Superposition Method ◽  
Modal Superposition ◽  
Modal Superposition Method ◽  
Multiple Support

A modal superposition method for the nonlinear dynamic analysis of a structure subjected to multiple support motions is presented. The nonlinearities are due to clearances between the components and their supports. The finite element method is used to derive the equations of motion with the nonlinearities represented by a pseudo force vector. The displacement response may be divided into two parts: elastic deformation and rigid body motion. The presence of rigid body motion necessitates the inclusion of the higher modes in the transient analysis. The modal superposition method is used to analyze the dynamic response of one loop of the nuclear steam supply system. This loop has nonlinear supports and is subjected to nonuniform seismic excitations at the supports. It is shown that the computational cost of the modal superposition method is lower than that of the direct integration.

Modeling and nonlinear dynamic analysis of cable-supported bridge with inclined main cables

2018 ◽  
Vol 156 ◽  
pp. 351-362 ◽  
Author(s):  
Yi Hui ◽  
Hou Jun Kang ◽  
Siu Seong Law ◽  
Zheng Qing Chen
Keyword(s):  
Dynamic Analysis ◽  
Nonlinear Dynamic ◽  
Nonlinear Dynamic Analysis ◽  
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