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发表时间：2014-01-01

发表刊物：力学学报

所属单位：海洋科学与技术学院

卷号：46

期号：2

页面范围：273-283

ISSN号：0459-1879

摘要：Along the longitudinal direction, a slender truss structure is divided
   into several substructures. Due to that the nodal displacements are
   small in the embedded coordinate systems of substructures, the degrees
   of freedom of the internal nodes can be reduced to the ones of the
   interface nodes. Considering that the left and right ends of the
   substructure remain rigid sections during deformation, the interface
   nodal displacements would be reduced to the ones of the section central
   points. Each substructure would be reduced to be a generalized two-node
   beam element, in which the degree of freedom would be reduced sharply.
   Large displacement and rotation are important causes of the geometric
   nonlinearity of slender member structures. Based on the co-rotational
   method, an embedded coordinate system is defined, and the equilibrium
   equations of nodal forces for substructure elements and the tangential
   stiffness matrix are formulated. Taking into account of slender truss
   structures containing mutually hinged rigid bodies in the actual
   construction machinery, the convention of the nodal forces and their
   derivatives with respect to the independent and non-independent degrees
   of freedom are formulated. At last, numerical examples of sub-arm
   condition for crawler cranes are presented, in which the displacements
   of the boom structures under different load conditions are obtained. The
   numerical examples prove the validity of the presented method.

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