摘要:

AbstractThe paper draws attention to an interesting connection between the randomness of localized buckling forms of elastic structures, solitons and deterministic chaos of dynamic systems.

ISSN:0044-2267    

DOI:10.1002/zamm.19900701202

出版商:WILEY‐VCH Verlag    

年代:1990

数据来源: WILEY

摘要:

AbstractThe present paper deals with the one‐dimensional thermal stress problem in a fluid‐filled porous medium, when the fluid in a porous medium flows in a steady state. If a heat conduction equation taking into consideration the flow of the fluid in the porous medium is used, the governing equations for this thermal stress problem become simultaneous quasilinear differential equations. The closed formed solutions for thermal stresses may be obtained in a hollow circular cylinder of the porous medium. Numerical results for thermal stresses are shown in figu

ISSN:0044-2267    

DOI:10.1002/zamm.19900701203

出版商:WILEY‐VCH Verlag    

年代:1990

数据来源: WILEY

ISSN:0044-2267    

DOI:10.1002/zamm.19900701206

出版商:WILEY‐VCH Verlag    

年代:1990

数据来源: WILEY

摘要:

AbstractA nonlinear (non‐abelian) extension of the motor analysis is considered. The semi‐direct productT(3)δSO(3)is introduced and the associated Lie algebra is given. Nonlinear generalisation of thegrad‐, rot‐ anddiv‐operators are presented. An energetic product for variables conjugate with respect to the energy

ISSN:0044-2267    

DOI:10.1002/zamm.19900701207

出版商:WILEY‐VCH Verlag    

年代:1990

数据来源: WILEY

ISSN:0044-2267    

DOI:10.1002/zamm.19900701210

出版商:WILEY‐VCH Verlag    

年代:1990

数据来源: WILEY

摘要:

AbstractAnalytical mechanics is a branch of classical mechanics whose basic problem is the characterization of the motion and of the equilibrium positions of the systems of material points. Physicists and mathematicians have been dealing for a long time with this problem and though almost all books on mechanics may contain a part discussing this subject, the standard mathematical treatment of this problem seems to be not yet complete. This paper will attempt at the systematization of mathematical problems relevant to the force equilibrium of mechanical systems with a finite degree of freedom, the determination of possible velocities in case of general constraints and the comparison of the principle of virtual work and the Courtivron principle. The main aim of the paper is to demonstrate that mathematical programming can advantageously be applied to mechanics.

ISSN:0044-2267    

DOI:10.1002/zamm.19900701211

出版商:WILEY‐VCH Verlag    

年代:1990

数据来源: WILEY

摘要:

AbstractConcerning linearODEswith periodic coefficients, enclosure methods are presented for the verification of(i)asymptotic stability of the homogeneousODEsand(ii)the existence of periodic solutions of the nonhomogeneousODEs. In the case of forcing stochastic “interval point processes”,(iii)the set of (classical) solutions and marginal distribution functions concerning this set are enclosed. A sufficient matrix test with respect to(i)is directly applicable for the verification of |λi|<1 orRe(λi)<0for the eigenvalues λior λiof related matrices. Numerical examples show the power of the presented enclosure methods, among others in applications concerning gear drive vib

ISSN:0044-2267    

DOI:10.1002/zamm.19900701212

出版商:WILEY‐VCH Verlag    

年代:1990

数据来源: WILEY

摘要:

AbstractThe velocity profile, shear rate, and shear stress in two‐ or three‐dimensional “layered” flow of a suspension were calculated analytically or numerically. The densities of the suspended particles and the suspension fluid were assumed to be different. The viscosity of the suspension was assumed to increase either exponentially or linearly from the top to the bottom of the channel. The maximum velocity was shifted towards the top of the channel, and the vertical skewing of the velocity profiles increased, as the viscosity of the lower layers increased. The shear rate was markedly decreased near the bottom of the channel, and increased near the top of the channel. The shear rate profile became highly nonlinear when the viscosity increased. The shear stress distribution was approximately piecewisely linear. The minimum of shear stress was shifted upwards similarly as the minimum of shear rate when the viscosity in

ISSN:0044-2267    

DOI:10.1002/zamm.19900701213

出版商:WILEY‐VCH Verlag    

年代:1990

数据来源: WILEY

ISSN:0044-2267    

DOI:10.1002/zamm.19900701216

出版商:WILEY‐VCH Verlag    

年代:1990

数据来源: WILEY

ISSN:0044-2267    

DOI:10.1002/zamm.19900701217

出版商:WILEY‐VCH Verlag    

年代:1990

数据来源: WILEY