摘要:

The scattering of plane inertial waves by both a flat strip and a circular cylinder whose generators are perpendicular to the rotation vector is examined. The properties of the reflected and diffracted fields, viz. spatial decay, propagation, structure, etc....are contrasted with those of the classical scattering fields in the limit where the wave length is small compared to the size of the scatterer.

ISSN:0022-2526    

DOI:10.1002/sapm196948291

年代:1969

数据来源: WILEY

ISSN:0022-2526    

DOI:10.1002/sapm1969482105

年代:1969

数据来源: WILEY

摘要:

The paper presents a formulation of the two‐dimensional theory of shallow shells, including the effects of transverse shear deformation and of moments turning about the normal to the middle surface. The present formulation includes, as it must, Marguerre's theory. At the same time it is consistent with recent formulations of general linear shell theory, in particular in regard to the preservation of the static‐geometric duality. Various reductions of the equation of the theory are considered. Of particular significance and effectiveness among these are reductions for the special cases of (1) shells without moments about the middle surface normal, (where an earlier result of Naghdi is extended) (2) the shell without transverse shear deformability, (the static‐geometrical dual of case (1)). As an application of the general equations an explicit solution is obtained for the problem of stretching, twisting and bending of pretwisted rectangular p

ISSN:0022-2526    

DOI:10.1002/sapm1969482133

年代:1969

数据来源: WILEY

摘要:

The depth‐averaged equations used frequently as a model for large scale motions in the ocean are shown to be the exact theory for quasi‐geostrophic flows in special laboratory configurations. This analogy permits the simulation of certain planetary phenom

ISSN:0022-2526    

DOI:10.1002/sapm1969482147

年代:1969

数据来源: WILEY

摘要:

The time‐dependent properties of the flow generated by a small disturbance of a rigidly rotating, compressible, non‐dissipative fluid in a gravitational field are derived, without restricting the spacial dependence of the gravitational field or the shape of the rigid container. The conserved quantities are used to characterize in a new way the time‐independent portion of the flow in terms of data from the initial distur

ISSN:0022-2526    

DOI:10.1002/sapm1969482153

年代:1969

数据来源: WILEY

ISSN:0022-2526    

DOI:10.1002/sapm1969482171

年代:1969

数据来源: WILEY

摘要:

This note obtains the stress function solution of the homogeneous equilibrium equations of the nonlinear shallow shell theory as formulated in [1].

ISSN:0022-2526    

DOI:10.1002/sapm1969482177

年代:1969

数据来源: WILEY