【摘要】 <正> A bounded,mono-peak,and symmetrically distributed probability density function,called λ-PDF,together with the Gegenbauer polynomial approximation,is used in dynamic responseproblems of random structures.The λ-PDF can reasonably model a variety of random parameters inengineering random structures.The Gegenbauer polynomial approximation can be viewed as a newextension of the weighted residual method into the random space.Both of them can be easily usedby scientists and engineers,and applied to a variety of response problems of random structures.Thenumerical example shows the effectiveness of the proposed method to study dynamic phenomena inrandom structures.更多还原

【Abstract】 A bounded,mono-peak,and symmetrically distributed probability density function, called λ-PDF,together with the Gegenbauer polynomial approximation,is used in dynamic response problems of random structures.The λ-PDF can reasonably model a variety of random parameters in engineering random structures.The Gegenbauer polynomial approximation can be viewed as a new extension of the weighted residual method into the random space.Both of them can be easily used by scientists and engineers,and applied to a variety of response problems of random structures.The numerical example shows the effectiveness of the proposed method to study dynamic phenomena in random structures.更多还原