摘要:

AbstractThis paper proposes a reanalysis method of static response and static response design sensitivity of locally repeatedly modified structures. By partitioning global stiffness matrixK(b) in terms of degrees of freedom affected directly by modification of structural parameters and matrix triangle factoring, the dimension of the equilibrium equation for reanalysis is decreased. The static response and static response design sensitivity of locally modified structures can be solved rapidly and simultaneously.

ISSN:0748-8025    

DOI:10.1002/cnm.1630081102

出版商:John Wiley&Sons, Ltd    

年代:1992

数据来源: WILEY

摘要:

AbstractA numerical procedure is used to identify the relationship between recursive and implicit filters. We find that the implicit filters can each be decomposed into two recursive filters at each grid point location by using Choleski matrix factorization. Specifically, the implicit second‐order sine filter yields the traditional first‐order recursive filter, while we recover the standard second‐order recursive sine filter from its fourth‐order implicit counterpart. This approach thus provides an alternative to traditional methods for calculating the coefficients associated with the recursive sine filters. We also find that we cannot recover the traditional form for the recursive tangent filter from the implicit tangent

ISSN:0748-8025    

DOI:10.1002/cnm.1630081103

出版商:John Wiley&Sons, Ltd    

年代:1992

数据来源: WILEY

摘要:

AbstractAn algorithm based on a compound matrix method is presented for solving difficult eigenvalue problems ofnequation sets in connected domains that are coupled through (n– 1) sets of interfacial boundary conditions, whennis an arbitrary number. As an example, a linear stability problem ofn‐layer plane Poiseuille flow is formulated. The resulting Orr–Sommerfeld equations form a set of stiff differential equations at high wavenumbers, which are solved accurately for various combinations of param

ISSN:0748-8025    

DOI:10.1002/cnm.1630081104

出版商:John Wiley&Sons, Ltd    

年代:1992

数据来源: WILEY

摘要:

AbstractIn this paper we explore the hierarchical structures of wavelets, and use them for solving the linear systems which arise in the discretization of the wavelet–Galerkin method for elliptic problems. It is proved that the condition number of the stiffness matrix with respect to the wavelet bases grows like O(log2H/h) in two dimensions, and the condition number of the wavelet preconditioning system is bounded by O(log2H/h) inddimensions, instead of O(h−2) if the scaling function bases are u

ISSN:0748-8025    

DOI:10.1002/cnm.1630081105

出版商:John Wiley&Sons, Ltd    

年代:1992

数据来源: WILEY

摘要:

AbstractThis work is based on the constructive existence proof of solutions of a comprehensive class of non‐linear free boundary‐value problems of plane hydrodynamics by E. Zeidler (1971) and a general computational method for constructing the solutions numerically given by the author (1991). The case of permanent capillar‐heavy waves in infinite channels will be consi

ISSN:0748-8025    

DOI:10.1002/cnm.1630081106

出版商:John Wiley&Sons, Ltd    

年代:1992

数据来源: WILEY

ISSN:0748-8025    

DOI:10.1002/cnm.1630081107

出版商:John Wiley&Sons, Ltd    

年代:1992

数据来源: WILEY

ISSN:0748-8025    

DOI:10.1002/cnm.1630081108

出版商:John Wiley&Sons, Ltd    

年代:1992

数据来源: WILEY

ISSN:0748-8025    

DOI:10.1002/cnm.1630081101

出版商:John Wiley&Sons, Ltd    

年代:1992

数据来源: WILEY