Stability for Leipholz’s Type of Laminated Box Columns with Nonsymmetric Lay-Ups on Elastic Foundation  

作　　者：Nam-Il Kim Jaehong Lee 

机构地区：[1]Department of Architectural Engineering,Sejong University,98 Kunja Dong,Kwangjin Ku,Seoul 143-747,Korea

出　　处：《Advances in Applied Mathematics and Mechanics》2015年第2期158-179,共22页应用数学与力学进展（英文）

基　　金：The support of the research reported here by Basic Science Research Program through the National Research Foundation of Korea(NRF)funded by the Ministry of Education,Science and Technology(2010-0019373&2012R1A2A1A01007405)is gratefully acknowledged.

摘　　要：The stability behavior of the Leipholz’s type of laminated box columns with nonsymmetric lay-ups resting on elastic foundation is investigated using thefinite el-ement method.Based on the kinematic assumptions consistent with the Vlasov beam theory,a formal engineering approach of the mechanics of the laminated box column-s with symmetric and nonsymmetric lay-ups is presented.The extended Hamilton’s principle is employed to obtain the elastic stiffness and mass matrices,the Rayleigh damping and elastic foundation matrices,the geometric stiffness matrix due to dis-tributed axial force,and the load correction stiffness matrix accounting for the uni-formly distributed nonconservative forces.The evaluation procedures for the critical values of divergence andflutter loads with/without internal and external damping ef-fects are briefly presented.Numerical examples are carried out to validate the present theory with respect to the previously published results.Especially,the influences of thefiber angle change and damping on the divergence andflutter loads of the laminated box columns are parametrically investigated.

关 键 词：Leipholz column LAMINATE STABILITY DIVERGENCE flutter finite element analysis 

分 类 号：O34[理学—固体力学]