摘要:

AbstractThe application of the finite element rank force method for the dynamic analysis of redundant structures is presented. The applied loading consists of discrete and distributed loads. Both forced and free vibrations are considered, the latter yielding latent vectors corresponding to dynamic redundancies.It is shown that the dynamic properties of an element are given by a static flexibility matrix, an inverse mass matrix, a damping parameter and a displacement vector representing the effect of the applied distributed loading.

ISSN:0029-5981    

DOI:10.1002/nme.1620030112

出版商:John Wiley&Sons, Ltd    

年代:1971

数据来源: WILEY

摘要:

AbstractA stiffness matrix for a finite element having the planform of an annular segment is derived using the displacement approach. Numerical problems involved in the derivation are discussed and rapid convergence to exact solutions is demonstrated on three sample problems. It is concluded that the new element will be of great value to engineers concerned with the analysis of slabs of bridge decks curved in plan.

ISSN:0029-5981    

DOI:10.1002/nme.1620030113

出版商:John Wiley&Sons, Ltd    

年代:1971

数据来源: WILEY

摘要:

AbstractThis paper discusses the mathematical foundations of a technique that has been used extensively in structural optimization.1–6Two basic problems are considered. The first of these is the concave programming problem which consists of finding the global minimum of ‘piece‐wise concave functions’ on ‘piece‐wise concave sets’. Since any function can be approximated by a piece‐wise concave function, this method could in principle be used to find the global minimum in non‐convex optimization problems. The second one is the piece‐wise linear programming problem in which the objective function is convex and piece‐wise linear. The iterative method outlined for handling this problem is shown to be much more efficient than the standard simplex method

ISSN:0029-5981    

DOI:10.1002/nme.1620030114

出版商:John Wiley&Sons, Ltd    

年代:1971

数据来源: WILEY

摘要:

AbstractThe Dynamic Relaxation (DR) method of solving a set of simultaneous linear equations requires an estimate of the spectral radius of the matrix. Dividing each equation by the corresponding row sum of moduli of the elements of the matrix gives a convenient upper bound of unity to this. This note shows that theDRmethod then gives a faster asymptotic rate of the convergence than the degenerate Chebyshev method which it closely resembles.

ISSN:0029-5981    

DOI:10.1002/nme.1620030115

出版商:John Wiley&Sons, Ltd    

年代:1971

数据来源: WILEY

ISSN:0029-5981    

DOI:10.1002/nme.1620030116

出版商:John Wiley&Sons, Ltd    

年代:1971

数据来源: WILEY

ISSN:0029-5981    

DOI:10.1002/nme.1620030117

出版商:John Wiley&Sons, Ltd    

年代:1971

数据来源: WILEY

ISSN:0029-5981    

DOI:10.1002/nme.1620030101

出版商:John Wiley&Sons, Ltd    

年代:1971

数据来源: WILEY