Volume 39 Issue 8
Aug.  2013
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Xu Menghui, Qiu Zhiping. Interval analysis and optimization for free vibration of all-composite lattice truss core sandwich beam[J]. Journal of Beijing University of Aeronautics and Astronautics, 2013, 39(8): 1079-1085. (in Chinese)
Citation: Xu Menghui, Qiu Zhiping. Interval analysis and optimization for free vibration of all-composite lattice truss core sandwich beam[J]. Journal of Beijing University of Aeronautics and Astronautics, 2013, 39(8): 1079-1085. (in Chinese)

Interval analysis and optimization for free vibration of all-composite lattice truss core sandwich beam

  • Received Date: 30 Aug 2012
  • Rev Recd Date: 25 Jan 2013
  • Publish Date: 30 Aug 2013
  • Considering the uncertainties in composite materials, free vibration of all-composite lattice truss core sandwich beam was studied. By expressing the uncertain parameters in the form of interval vector, a high-accurate collocation interval analysis method, which requires the intervals rather than probability distribution functions of uncertainties, was proposed to calculate the natural frequency of all-composite lattice truss core sandwich beam with uncertain-but-bounded parameters and based on which interval optimization was accomplished. A feasible way for the design of novel composite materials with serious nonlinear phenomena was provided. Compared with the probabilistic analysis method, the results demonstrate the feasibility of interval analysis method and interval optimization method is of more engineering significance than deterministic optimization technique in the design of composite structures by fully considering the potential negative impact from uncertainties.

     

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  • [1] Deshpande V S,Ashby M F,Fleck N A.Form topology bending versus stretching dominated architectures[J].Acta Materialia,2001,49(10):1035-1040 [2] Evans A G,Hutchinson J W,Fleck N A,et al.The topological design of multifunctional cellular metals[J].Progress in Materials Science,2001,50(3/4):309-327 [3] Deshpande V S,Fleck N A,Ashby M F.Effective properties of the octet-truss lattice material[J].Journal of the Mechanics and Physics of Solids,2001,49(8):1747-1769 [4] Fan Hualin,Yang Wei,Wang Bin,et al.Design and manufacturing of a composite lattice structure reinforced by continuous carbon fibers[J].Tsinghua Science and Technology,2006,11(5):515-522 [5] 吴林志,殷莎,马力.复合材料点阵夹芯结构的耦合换热及热应力分析[J].功能材料,2010,6(41):969-972 Wu Linzhi,Yin Sha,Ma li.Coupled heat transfer and thermal stress analysis of composite lattice core sandwich structure[J].Journal of Functional Materials,2010,6(41):969-972(in Chinese) [6] 熊健,马力,杨金水,等.碳纤维复合材料金字塔点阵结构制备工艺及力学性能研究[J].固体力学学报,2010,32(专辑):8-13 Xiong Jian,Ma Li,Yang Jinshui,et al.Fabrication and mechanical response of carbon fiber sandwich panels with pyramidal truss cores[J].Chinese Journal of Solid Mechanics,2010,32(S):8-13(in Chinese) [7] 娄佳,马力,吴林志.复合材料四面体点阵夹芯梁的自由振动分析[J].固体力学学报,2011,32(4):339-345 Lou Jia,Ma Li,Wu Linzhi.Free vibration analysis of all-composite tetrahedral lattice truss core sandwich beam[J].Chinese Journal of Solid Mechanics,2011,32(4):339-345(in Chinese) [8] 刘均,程远胜.考虑芯层离散特性的方形蜂窝夹层板自由振动分析[J].固体力学学报,2009,30(1):90-94 Liu Jun,Cheng Yuansheng.Free vibration analysis of square-honeycomb sandwich plates considering discrete characteristics of the core[J].Chinese Journal of Solid Mechanics,2009,30(1):90-94(in Chinese) [9] 吴晖,俞焕然.四边简支正交各向异性波纹型夹芯矩形夹层板的固有频率[J].应用数学与力学,2001,22(9):919-926 Wu Hui,Yu Huanran.Natural frequency for rectangular orthotropic corrugated-core sandwich plates with all edges simply-supported[J].Applied Mathematics and Mechanics,2001,22(9):919-926(in Chinese) [10] Tewary V K.Mechanics of fiber composites[M].New York:Wiley,1978 [11] 邱志平,邱薇,王晓军.复合材料层合梁自由振动的区间分析[J].北京航空航天大学学报,2006,32(7):838-842 Qiu Zhiping,Qiu Wei,Wang Xiaojun.Interval analysis for free vibration of composite laminated beams[J].Journal of Beijing University of Aeronautics and Astronautics,2006,32(7):838-842(in Chinese) [12] Han X,Jiang C,Huang Y H.Transient waves in composite-laminated plates with uncertain load and material property[J].International Journal for Numerical Methods in Engineering,2008,75(3):253-274 [13] Jiang C,Han X,Liu G P.Uncertain optimization of composite laminated using a nonlinear interval number programming method[J].Computers and Structures,2008,86(17/18):1696-1703 [14] Deshpande V S,Fleck N A.Collapse of truss core sandwich beams in 3-point bending[J].International Journal of Solids and Structures,2001,38(36/37):6275-6305 [15] Jones R M.Mechanics of composite materials[M].Washington D C:Scripta Book Company,1975
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