ISSN:0029-5981    

DOI:10.1002/nme.1620010302

出版商:John Wiley&Sons, Ltd    

年代:1969

数据来源: WILEY

摘要:

AbstractA method is presented based on matrix algebra for the dynamic analysis of a mixed rotating and non‐rotating vibration system. Such systems occur in practice when turbo‐alternator sets are mounted on flexible steel foundations.The mathematical model considered consists of a rotating non‐uniform, bi‐symmetric shaft connected via three or more flexible‐film bearings to a flexible structure throughout which mass is distributed. The shaft, which is assumed to rotate at constant speed, is heavy, flexible and carries several rigid axi‐symmetric discs. Viscous damping is assumed to act in all parts of the system and gravitational effects

ISSN:0029-5981    

DOI:10.1002/nme.1620010303

出版商:John Wiley&Sons, Ltd    

年代:1969

数据来源: WILEY

摘要:

AbstractIn Part I of the this paper, topological properties of finite element models of functions defined on spaces of finite dimension were examined. In this part, a number of applications of the general theory are presented. These include the generation of finite element models in the time domain and certain problems in wave propagation, kinetic theory of gases, non‐linear partial differential equations, non‐linear continuum mechanics, and fluid dynam

ISSN:0029-5981    

DOI:10.1002/nme.1620010304

出版商:John Wiley&Sons, Ltd    

年代:1969

数据来源: WILEY

摘要:

AbstractA presentation is made of a rectangular plate bending element, the use of which corresponds to the finite difference method. The element stiffness matrix is arrived at by approximation of the strain energy of the element by suitably selected finite difference expressions which contain not only values in respect of the deflection, but also values of its first derivatives. On the basis of the connection found between the two methods, some changes are suggested in the finite difference method, which involve a more realistic way of considering the detailed distribution of the loading. The effect of these modifications is illustrated in two applications.

ISSN:0029-5981    

DOI:10.1002/nme.1620010305

出版商:John Wiley&Sons, Ltd    

年代:1969

数据来源: WILEY

ISSN:0029-5981    

DOI:10.1002/nme.1620010306

出版商:John Wiley&Sons, Ltd    

年代:1969

数据来源: WILEY

摘要:

AbstractWhen calculating complex interconnected systems (electrical, power, water supply, gas systems, etc.) by digital computer, a number of common problems arise, connected both with the mathematically correct formulation of the problem under investigation, and with the algorithms of the solution, the programming of which makes it possible to reduce the computing time, the store capacity and the volume of input data required. The present article is devoted to the solution of these problems. The procedure is illustrated by formulating and manipulating the equations relating to complex interconnected mine ventilation networks.

ISSN:0029-5981    

DOI:10.1002/nme.1620010307

出版商:John Wiley&Sons, Ltd    

年代:1969

数据来源: WILEY

摘要:

AbstractSolution of plane elastic problems by piecewise linear approximation is outlined. This method is based upon Galerkin error distribution technique, which leads to simultaneous algebraic equations identical to those associated with the Finite Element Method. In addition, this method permits definition of the discretization error, which can be computed once the displacement components are known. Properties of the interpolation functions are discussed, and a sequence of internally compatible plane elastic elements is defined.

ISSN:0029-5981    

DOI:10.1002/nme.1620010308

出版商:John Wiley&Sons, Ltd    

年代:1969

数据来源: WILEY

ISSN:0029-5981    

DOI:10.1002/nme.1620010301

出版商:John Wiley&Sons, Ltd    

年代:1969

数据来源: WILEY