期刊
MATERIALS SCIENCE AND ENGINEERING B-ADVANCED FUNCTIONAL SOLID-STATE MATERIALS
卷 177, 期 19, 页码 1712-1716出版社
ELSEVIER
DOI: 10.1016/j.mseb.2012.02.003
关键词
Sandwich structures; Lattice truss core; Free vibration; Hamilton's principle; Numerical simulation
资金
- National Science Foundation of China [90816024, 10872059]
- Major State Basic Research Development Program of China (973 Program) [2011CB610303]
- Program of Excellent Team in Harbin Institute of Technology
- Fundamental Research Funds for the Central Universities [HIT.KLOF.2010029]
- Program for New Century Excellent Talents in University [NCET-08-0152]
Free vibration of AISI 304 stainless steel sandwich beams with pyramidal truss core is investigated in the present paper. The lattice truss core is transformed to a continuous homogeneous material. Considering the deformation characteristics of the sandwich beam, the following assumptions are made: (1) the thickness of the sandwich beam remains constant during deformation; (2) for the thin face sheets, only bending deformation is considered, neglecting the effect of transverse shear deformation; (3) for the core, only shear deformation is considered as the core is too weak to provide a significant contribution to the bending stiffness of the sandwich beam. The shear stress is assumed to be constant along the thickness of the core. The governing equation of free vibration is derived from Hamilton's principle, and the natural frequencies are calculated under simply supported boundary conditions. Finally, numerical simulation is carried out to get the mode shapes and natural frequencies. Our results show that the theoretical solutions agree well with the numerical results. It indicates the present method would be useful for free vibration analysis of sandwich beams with lattice truss core. (c) 2012 Elsevier B.V. All rights reserved.
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