期刊
COMPOSITE STRUCTURES
卷 221, 期 -, 页码 -出版社
ELSEVIER SCI LTD
DOI: 10.1016/j.compstruct.2019.04.056
关键词
Geometrically nonlinear; Honeycomb sandwich shell; Homotopy analysis method; Primary resonance; Superharmonic resonance; Subharmortic resonance
资金
- Fundamental Research Funds for the Central Universities of China [N140503003]
- National Natural Science Foundation of China [11772090]
Dynamics of a double curvature honeycomb sandwich shell with simply supported boundaries are studied in this paper. The nonlinear governing equations of the double curvature honeycomb sandwich shell subjected to transverse excitations are derived by using Hamilton's principle and Reddy's third-order shear deformation theory. Based on the homotopy analysis method, the average equations of the primary resonance and harmonic resonance are obtained. The influence of structural parameters, the transverse exciting force amplitude and transverse damping to the double curvature honeycomb sandwich shell are discussed by using the analytic approximation method. The amplitude-frequency response curves demonstrate softening nonlinearity in primary resonance (no internal resonance), hardening nonlinearity in 3 order superharmonic resonance and no jump phenomenon in 1/3 subharmonic resonance. The variation of nonlinear strength, multivalued jump point and multivalued region are detailed and discussed.
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