Nonlinear Dynamic Analysis of a Jacket-Type Platform by Ritz Mode Superposition Method

1985 ◽  
Author(s):  
E.C.P. Lima ◽  
L. Landau ◽  
N.F.F. Ebecken ◽  
G.B. 'Ellwanger
1987 ◽  
Vol 25 (4) ◽  
pp. 615-625 ◽  
Author(s):  
Alvaro L.G.A. Coutinho ◽  
Luiz Landau ◽  
Edison C.P. Lima ◽  
Nelson F.F. Ebecken

1981 ◽  
Vol 103 (1) ◽  
pp. 27-32 ◽  
Author(s):  
V. N. Shah ◽  
A. J. Hartmann

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.


Author(s):  
Jinsuo Nie ◽  
Xing Wei

The mode superposition method is often used for dynamic analysis of complex structures, such as the seismic Category I structures in nuclear power plants, in place of the less efficient full method, which uses the full system matrices for calculation of the transient responses. In such applications, specification of material-dependent damping is usually desirable because complex structures can consist of multiple types of materials that may have different energy dissipation capabilities. A recent review of the ANSYS manual for several releases found that the use of material-dependent damping is not clearly explained for performing a mode superposition transient dynamic analysis. This paper includes several mode superposition transient dynamic analyses using different ways to specify damping in ANSYS, in order to determine how material-dependent damping can be specified conveniently in a mode superposition transient dynamic analysis.


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