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Date of Publication:2014-01-01
Journal:力学学报
Affiliation of Author(s):海洋科学与技术学院
Volume:46
Issue:2
Page Number:273-283
ISSN No.:0459-1879
Abstract: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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