FREE VIBRATION ANALYSIS OF LATTICE SANDWICH BEAMS UNDER SEVERAL TYPICAL BOUNDARY CONDITIONS

• Published in: Acta mechanica solida Sinica Vol. 26; no. 5; pp. 458 - 467
• Main Authors: Lou, Jia, Wang, Bing, Ma, Li, Wu, Linzhi
• Format: Journal Article
• Language: English
• Published: Singapore Elsevier Ltd 01.10.2013; Springer Singapore; Center for Composite Materials and Structures, Harbin Institute of Technology, Harbin 150001, China
• Subjects: analytical method; Angles (geometry); beam; Beams (structural); Boundary conditions; Classical Mechanics; composites; Engineering; Free vibration; lattice materials; Lattices; Mathematical analysis; Mathematical models; Resonant frequency; Surfaces and Interfaces; Theoretical and Applied Mechanics; Thin Films; vibration; 几何参数; 固有频率; 夹层梁; 旋转角度; 自然频率; 自由振动分析; 解析解; 边界条件; composites; beam; analytical method; vibration; lattice materials
• ISSN: 0894-9166; 1860-2134
• DOI: 10.1016/S0894-9166(13)60041-5

Free vibration problems of lattice sandwich beams under several typical boundary conditions are investigated in the present paper. The lattice sandwich beam is transformed to an equivalent homogeneous three-layered sandwich beam. Unlike the traditional analytical model in which the rotation angles of the face sheets and the core are assumed the same, different rotation angles are considered in this paper to characterize the real response of sandwich beams. The analytical solutions of the natural frequencies for several typical boundary conditions are obtained. The effects of material properties and geometric parameters on the natural frequencies are also investigated.