摘要:

AbstractFor the example of Duffing's oscillator, the discrepancy between the onset of chaotic motions found numerically and the results of analytical approximation is investigated by an analytical‐numerical method of trigonometric iteration. A fanning of the approximate response curves is found which corresponds to the non‐convergence of the approximations and the onset of chaotic moti

ISSN:0044-2267    

DOI:10.1002/zamm.19860660302

出版商:WILEY‐VCH Verlag    

年代:1986

数据来源: WILEY

摘要:

AbstractThe stochastic motions of Duffing‐Van der Pol oscillators driven by white noise are investigated by using several theoretical methods: analytical and numerical calculations of the stationary probability distribution, analysis of the Hopf bifurcation, computer simulations and study of Lyapunov exponents. One observes a break of the radial symmetry and noise induced oscillation

ISSN:0044-2267    

DOI:10.1002/zamm.19860660303

出版商:WILEY‐VCH Verlag    

年代:1986

数据来源: WILEY

摘要:

AbstractLarge amplitude free vibration of an inextensible thin elastic beam of a variable cross‐section is analysed. Although large deflections and rotations are considered the strains are small. It is shown how approximate solutions can be obtained by using Galerkin's method, and the effect of the variation of cross‐section is investigated. For the beam of constant cross‐section the results are compared with those of paper [3] and the exact solution of the special case of an ordinary differential equation obtained in the paper is considered. Additionally, a simple method for static deflections of the beam is pro

ISSN:0044-2267    

DOI:10.1002/zamm.19860660304

出版商:WILEY‐VCH Verlag    

年代:1986

数据来源: WILEY

摘要:

AbstractThe present paper performs an example towards the theory of the slip line field for fluid‐saturated porous solids. The limit load, the stress distribution in the plastic region and the slip line field are determined for an elongated obtuse wedge under the action of one‐sided pressure. The non‐porous solid wedge arises from the present calculations as a limiting

ISSN:0044-2267    

DOI:10.1002/zamm.19860660305

出版商:WILEY‐VCH Verlag    

年代:1986

数据来源: WILEY

摘要:

AbstractA numerical comparison is made between a number of important representatives of the following classes of methods: (i) collocation, (ii) product integration and (iii) global methods. Special attention is paid to the performance of these methods for problems with a non‐smooth solution. It turned out that, when only relatively low accuracy is required, a good choice would be a second or third order collocation method of Branca. — A new collocation method which accounts for possible non‐smoothness of the solution near the origin, turned out to be advantageous when high accuracy is required, both for problems with a non‐smooth solution, and for problems with a smooth s

ISSN:0044-2267    

DOI:10.1002/zamm.19860660306

出版商:WILEY‐VCH Verlag    

年代:1986

数据来源: WILEY

ISSN:0044-2267    

DOI:10.1002/zamm.19860660308

出版商:WILEY‐VCH Verlag    

年代:1986

数据来源: WILEY

摘要:

AbstractThe flow of a system of ordinary differential equations near an equilibrium point is completely determined by the flow restricted to a corresponding center manifold. Even for analytic equations center manifolds need not be analytic and therefore, in general, the flow on a center manifold cannot be described by an analytic equation. It is the main purpose of this paper to show that one‐dimensional center manifolds are analytic in the only case where analyticity is relevant. Thus, the generally lacking analyticity causes no problems, neither from a practical nor from a theoretical point of view. Furthermore sufficient conditions are given for the analyticity of center‐stable and center‐unstable mani

ISSN:0044-2267    

DOI:10.1002/zamm.19860660309

出版商:WILEY‐VCH Verlag    

年代:1986

数据来源: WILEY

ISSN:0044-2267    

DOI:10.1002/zamm.19860660310

出版商:WILEY‐VCH Verlag    

年代:1986

数据来源: WILEY

ISSN:0044-2267    

DOI:10.1002/zamm.19860660311

出版商:WILEY‐VCH Verlag    

年代:1986

数据来源: WILEY

ISSN:0044-2267    

DOI:10.1002/zamm.19860660312

出版商:WILEY‐VCH Verlag    

年代:1986

数据来源: WILEY