Closed-form approximate solutions for uniaxial and biaxial compressive buckling of rectangular symmetric angle-ply laminates are developed from eigensensitivity analysis. Boundary conditions, which consist of the various combinations of clamped and simply supported edges, are incorporated through appropriate edge condition parameters. Calculated results, presented for elastic moduli ratios up to 40, compare quite favorably with the corresponding buckling loads obtained from the Ritz method.rectangular plate in x and y directions = eigenvector = matrices defining the boundary conditions where x is defined as constant = matrices defining the boundary conditions where y is defined as constant = bending stiffnesses of composite laminate = unit vector whose only nonzero component is the (w,n)th component = self adjoint operators= symmetric matrices equivalent to E, M operators, respectively = elements of the [K] and [M] matrices = diagonal matrices obtained by setting the off-diagonal elements of [K] and [M] equal to zero = zero-diagonal matrices obtained by setting the diagonal elements of [K] and [M]equal to zero = normalized Ritz critical buckling load = normalized approximate buckling load = in-plane stress resultants = transformation matrix = plate's aspect ratio a/b = dummy parameters = mutually adjoint differential operators = normalized beam shape functions on (0,1) = eigenfunction = invariant material property = transverse deflection = (m, n)th component of the eigenvector a/ 7 -= ratio of in-plane stress resultants N y /N x = laminate ply angle with respect to the x axis = eigenvalue corresponding to eigenfunction = beam's frequencies corresponding to X p andK
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.