摘要:

AbstractCurrent methods to deal with Cauchy principal‐value (CPV) integrals in advanced boundary‐element implementations have been almost entirely based on indirect approaches (such as the rigid‐body motion in elastostatics). The present paper illustrates an alternative direct approach for the rigorous treatment and numerical evaluation of general CPV integrals in three‐dimensional problems. The method has general validity. It can be applied in any field of applied mechanics and with curved boundary elements of any order and type. As expected, the mesh pattern around the pole does not affect the numerical

ISSN:0748-8025    

DOI:10.1002/cnm.1630080302

出版商:John Wiley&Sons, Ltd    

年代:1992

数据来源: WILEY

摘要:

AbstractThe exact discretization of simply supported rectangular thin plate elements for transverse vibration analysis, using the product of simply supported Euler beam properties, justifies this further study of Euler beams having a variety of end conditions. Five sets of boundary conditions, including the simply supported case, are examined and the theory for exact discretization is developed. Satisfactory verification of the discretization is obtained by eigenvalue analysis in all five cases. Applying the discretized properties to multi‐element beam analysis reveals an ill‐conditioning problem, present also in the conventional static matrices, for most combinations of end conditions. This problem does not occur for the simply supported element, whose discretized properties are then used to develop a highly accurate, frequency‐dependent mass matrix for use with the static stiffness matrix. Several comparisons are made of the results of eigenvalue error ana

ISSN:0748-8025    

DOI:10.1002/cnm.1630080303

出版商:John Wiley&Sons, Ltd    

年代:1992

数据来源: WILEY

ISSN:0748-8025    

DOI:10.1002/cnm.1630080304

出版商:John Wiley&Sons, Ltd    

年代:1992

数据来源: WILEY

摘要:

AbstractA solution algorithm is developed for frictional contact problems solved using the boundary integral equation method when the loading is proportional. The algorithm takes advantage of certain characteristics of the boundary integral equation formulation of contact problems and of proportional loading. These characteristics lead to a solution process requiring that the incremental‐iterative procedure commonly used in solving contact problems numerically be applied only to a reduced set of equations representing points within the potential contact zon

ISSN:0748-8025    

DOI:10.1002/cnm.1630080305

出版商:John Wiley&Sons, Ltd    

年代:1992

数据来源: WILEY

摘要:

AbstractThis paper considers the problem of hypersonic flow past two‐dimensional thin aerofoils with sharp leading edges and attached shock waves. The analysis relies on another recent formulation of the hypersonic small disturbance theory, HSDT. The equations are reduced to a complicated functional‐differential equation for which an iterative numerical scheme is employed. In each iteration both the functional and differential parts of the functional‐differential equation are eliminated, thus reducing it to an algebraic equation. The iterative scheme is found to be stable and rapidly convergent, and the results obtained for the surface pressure and shock wave compare well with other exact and approximate me

ISSN:0748-8025    

DOI:10.1002/cnm.1630080306

出版商:John Wiley&Sons, Ltd    

年代:1992

数据来源: WILEY

摘要:

AbstractThe modes of deformation attainable by 8‐node brick elements are isolated. Explicit eigenvalues can be associated with most of these modes (and in special cases with all of them). The effects of ‘reduced’ and ‘selective reduced’ integration are clearly il

ISSN:0748-8025    

DOI:10.1002/cnm.1630080307

出版商:John Wiley&Sons, Ltd    

年代:1992

数据来源: WILEY

ISSN:0748-8025    

DOI:10.1002/cnm.1630080308

出版商:John Wiley&Sons, Ltd    

年代:1992

数据来源: WILEY

ISSN:0748-8025    

DOI:10.1002/cnm.1630080301

出版商:John Wiley&Sons, Ltd    

年代:1992

数据来源: WILEY