It has been thought by the finite element community that the consistent mass matrix should not be used as it leads to a higher computational cost and this opinion has been prevalent since 1970. We are of the opinion that in today's age where computers have become so fast we can use the...
1) lumped mass matrix 集中质量矩阵1. Consistent mass matrix and lumped mass matrixes are the common types of mass matrixes in structural dynamic analysis. 一致质量矩阵与集中质量矩阵是结构动力分析中常用的质量矩阵形式。2. Using finite-element simulation of acoustic wave equation, the consistent mass...
The consistent mass matrix of the element is given by (12.26) where A is the uniform cross-sectional area, and l is the length of the element. Thus, the consistent mass matrices, in general, are fully populated. On the other hand, the lumped mass matrix of the element can be obtained...
The mass matrices thus obtained are generally non- diagonal, but at most penta-diagonal. This fact considerably shortens the computing process, be- cause the consistent mass matrices have the same band width as that of the stiffness matrices.关键词:...
Furthermore, so as to indicate that the numerical approach keeps the properties related to mass, momentum and energy, we observe the changes of the invariants I1=∫abUdx,I2=∫ab[U2+μ(Ux)2]dx,I3=∫ab[U4−μ(Ux)2]dx. (21) The exact solution of GRLW equation given in Gardner ...
First the consistent mass matrices are derived for the distributed mass systems by considering equivalent density functions for torsion, bending and axial directions. The consistent mass matrices for the lumped systems are obtained from those for the distributed systems by considering the limiting case ...
2) lumped mass matrix 集中质量矩阵 1. Consistent mass matrix and lumped mass matrixes are the common types of mass matrixes in structural dynamic analysis. 一致质量矩阵与集中质量矩阵是结构动力分析中常用的质量矩阵形式。 2. Using finite-element simulation of acoustic wave equation, the consistent...
The mass matrices thus obtained are generally non- diagonal, but at most penta-diagonal. This fact considerably shortens the computing process, be- cause the consistent mass matrices have the same band width as that of the stiffness matrices....
Earthquake Engineering and Structural Dynamics 20: pp. 33-41Wolf J P. Consistent lumped-parameter models for unbounded soil: frequency-independent stiffness, damping and mass matrices [J]. Earthquake Engineering and Structural Dynamics, 1991, 20: 33―41....
MATRICES (MATHEMATICS)The wetted surface area matrix in fluid-structure interaction problems is used to couple the fluid and structure equations of motion. Similar to the structural mass matrix, the area matrix was shown to have consistent and lumped formulations. In this paper, analytical aspects ...