Huan Wang¹, Weifeng Yuan^2,3, Fei Jia²

CMC-Computers, Materials & Continua, Vol.47, No.1, pp. 31-43, 2015, DOI:10.3970/cmc.2015.047.031

Abstract Compared with dealing with a linear system, solving a nonlinear system equation in numerical simulation requires generally more CPU time since iterative approach is usually used in the latter. To cut down the computing cost, a direct way is to reduce the degree of freedoms (DOF) of the problem under investigation. However, this kind of treatment may result in poorer accuracy. In this manuscript, a macro element method is proposed to improve computational efficiency in large-scaled nonlinear analysis. When this concept is incorporated into finite element analysis (FEA), all the members in the linear zones of a structure can be… More >

E.J. Sapountzakis¹, J.A. Dourakopoulos¹

CMC-Computers, Materials & Continua, Vol.18, No.2, pp. 121-154, 2010, DOI:10.3970/cmc.2010.018.121

Abstract In this paper a boundary element method is developed for the nonlinear flexural - torsional analysis of Timoshenko beam-columns of arbitrary simply or multiply connected constant cross section, undergoing moderate large deflections under general boundary conditions. The beam-column is subjected to the combined action of an arbitrarily distributed or concentrated axial and transverse loading as well as to bending and twisting moments. To account for shear deformations, the concept of shear deformation coefficients is used. Seven boundary value problems are formulated with respect to the transverse displacements, to the axial displacement, to the angle of twist (which is assumed to… More >