Buckling and free vibration of a side-cracked Mindlin plate under axial in-plane loadArchive of Applied Mechanics - Tập 90 - Trang 1811-1827 - 2020
Jian Xue, Yuefang Wang, Lihua Chen
In this paper, the buckling and free vibration of a Mindlin plate with a side crack are presented considering a uniaxial in-plane compressive or tensile load. The side crack is through the thickness of the plate. In the Ritz method, a series of corner functions are incorporated into the admissible functions which consist of the modified characteristic functions. With this treatment, one can descri...... hiện toàn bộ
Determination of stiffness modifications to keep certain natural frequencies of a system unchanged after mass modificationsArchive of Applied Mechanics - Tập 87 - Trang 1629-1640 - 2017
Mesut Huseyinoglu, Orhan Çakar
Structural modifications in the form of mass, stiffness and damping to a structure change the dynamic properties of that structure. However, in some cases, after modifications are made to the structures, certain specified natural frequencies of the structure are desired to remain unchanged. This study is interested in the determination of necessary stiffness modifications in order to keep a certai...... hiện toàn bộ
On an approximate criterion for chaotic motion in a model of a buckled beamArchive of Applied Mechanics - Tập 57 - Trang 243-255 - 1987
J. Rudowski, W. Szemplińska -Stupnicka
Periodic and chaotic motions in a mathematical model of a buckled beam are studied by the aid of approximate theory of nonlinear vibration and computer simulation. It is shown that the first approximate harmonic solution of small orbit motion may provide an approximate criterion for chaotic motion to appear. While computer simulation shows a variety of subharmonic motions (period doubling bifurcat...... hiện toàn bộ
On the treatment of nonlinear unilateral contact problemsArchive of Applied Mechanics - Tập 63 - Trang 116-129 - 1993
P. Wriggers, M. Imhof
This paper is concerned with finite deformations of elastic bodies in the presence of unilateral constraints. The penalty formulation is applied to introduce the contact constraints. We develop special isoparametric contact elements. Starting from their Gaussian points the distance between the body and the obstacle is determined, where the obstacle is given as aC
2 continuous function. Variation a...... hiện toàn bộ
Vibration analysis of coupled straight–curved beam systems with arbitrary discontinuities subjected to various harmonic forcesArchive of Applied Mechanics - Tập 90 - Trang 2071-2090 - 2020
Jinpeng Su, Kun Zhang, Qiang Zhang, Ying Tian
In this paper, a modified variational method is developed to study the free and forced vibration of coupled straight–curved beam systems with an arbitrary number of eccentric discontinuities (EDs). Based on the generalized shell theory, the kinetic and potential functional of the curved beam with arbitrary subtended angles is formulated. Since the shear and inertial (or radial–tangential–rotationa...... hiện toàn bộ