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- W2377526793 abstract "On the basis of equilibrium differential equation of beam,the displacement interpolating functions with shear effect of spatial beam elements used to simulate the structure members without axial forces are deduced.The different displacement interpolating functions in compression and tension spatial beam-column elements are unified by the method of Maclaurin series expansion,and the unified expressions used to simulate structure members with axial forces are equivalent to those expressed by stability functions.The second-order element tangent stiffness matrix which includes axial deformation,shear deformation,compound bending,torsion and their coupling effects is deduced.The number of expansion terms of the series in interpolating functions is determined from aspects of the calculating accuracy and positive definiteness of general stiffness matrixes of the structure.Numerical analysis results of cantilevers under different axial loads show that the element model proposed in this paper can perfectly incarnate the second-order effects.Numerical analysis results of single-layer reticulated shells indicate the effectiveness and accurateness of the element model proposed in this paper,can perfectly describe the geometrical nonlinearity of single-layer reticulated shells as well." @default.
- W2377526793 created "2016-06-24" @default.
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- W2377526793 date "2010-01-01" @default.
- W2377526793 modified "2023-09-23" @default.
- W2377526793 title "Element model for second-order analysis of beam structures" @default.
- W2377526793 hasPublicationYear "2010" @default.
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