Abstract Micropolar beam models are developed for the static, free vibration and buckling analysis of repetitive spatial beamlike lattices with rigid joints. The micropolar beam models have independent microrotation and displacement fields and are characterized by their strain energy, potential energy due to initial stresses and kinetic energy from which the governing differential equations and boundary conditions can be derived. The procedure for developing the expression for the strain energy of the micropolar beam involves introducing basic assumptions regarding the variation of the displacement and microrotation components in the plane of the cross-section, and obtaining effective elastic coefficients of the continuum in terms of the material properties and geometry of the original lattice structure. The high accuracy of the solutions obtained by the micropolar beam models is demonstrated by means of numerical examples for vierendeel and double-laced lattice girders with triangular cross-sections.
[1]
Ahmed K. Noor,et al.
Micropolar beam models for lattice grids with rigid joints
,
1980
.
[2]
T. Y. Yang,et al.
A Continuum Approach Toward Dynamics of Gridworks
,
1973
.
[3]
A. Noor,et al.
Computerized symbolic manipulation in structural mechanics—Progress and potential
,
1979
.
[4]
Melvin S. Anderson,et al.
Continuum Models for Beam- and Platelike Lattice Structures
,
1978
.
[5]
Z. Bažant,et al.
Analogy between micropolar continuum and grid frameworks under initial stress
,
1972
.