Wang Huixia, Zhang Yuhong, Wang Xingren, et al. Implementation of Network Interface Unit Based on HLA[J]. Journal of Beijing University of Aeronautics and Astronautics, 2003, 29(6): 521-524. (in Chinese)
Citation: Qiu Zhiping, Qiu Wei, Wang Xiaojunet al. Interval analysis for free vibration of composite laminated beams[J]. Journal of Beijing University of Aeronautics and Astronautics, 2006, 32(07): 838-842. (in Chinese)

Interval analysis for free vibration of composite laminated beams

  • Received Date: 22 Jul 2005
  • Publish Date: 31 Jul 2006
  • A new method named interval analysis method, which solves the free vibration of composite laminated beams with uncertain parameters, was presented. Based on interval mathematics and Taylor series expansion, uncertain parameters were described by interval numbers. Instead of conventional probabilistic approach, interval analysis method could get the variation intervals of the natural frequencies of structure, in which the bounds on the magnitude of uncertain parameters were only required, not necessarily knowing other information of statistics. From the comparison between the non-probabilistic interval analysis method and the probabilistic approach in the numerical examples, it could be seen that the region of the natural frequency of structures with uncertain parameters obtained by the interval analysis method contained that produced by the probabilistic approach. In other words, the width of the maximum or upper and minimum or lower bounds on the natural frequency yielded by the probabilistic approach was tighter than that produced by the interval analysis method. The result illustrates the feasibility and the efficiency of the interval analysis method.

     

  • [1] Tewary V K.Mechanics of fiber composites[M].New York:Wiley,1978 [2] Kapania R K,Raciti S.Nonlinear vibrations of unsymmetrically laminated beams[J].AIAA Journal,1989,27(2):201-210 [3] Moore R E. Methods and applications of interval analysis[M].London:Prentice-Hall Inc,1979 [4] Alefeld G,Herzberger J.Introductions to interval computations[M].New York:Academic Press,1983 [5] Qiu Zhiping,Wang Xiaojun,Friswell M I. Eigenvalue bounds of structures with uncertain-but-bounded parameters[J].Journal of Sound and Vibration,2005,282(1-2):297-312 [6] Qiu Zhiping,Wang Xiaojun.Comparison of dynamic response of structures with uncertain-but-bounded parameters using non-probabilistic interval analysis method and probabilistic approach[J].International Journal of Solids and Structures,2003,40(20):5423-5439 [7] 邱志平,马一,王晓军.含不确定参数的复合材料板振动的区间分析法[J].北京航空航天大学学报, 2004,30(7):682-685 Qiu Zhiping,Ma Yi,Wang Xiaojun. Interval analysis method for vibration of composite laminate with uncertain parameters[J].Journal of Beijing University of Aeronautics and Astronautics,2004,30(7):682-685(in Chinese) [8] 邱志平,王晓军,马一.结构复固有频率区域的区间摄动法[J].北京航空航天大学学报,2003,29(5):406-409 Qiu Zhiping,Wang Xiaojun,Ma Yi.Interval perturbation method for computing regions containing complex natural frequencies of structures[J].Journal of Beijing University of Aeronautics and Astronautics,2003,29(5):406-409(in Chinese) [9] 王晓军,邱志平.结构振动的鲁棒可靠性[J].北京航空航天大学学报,2003,29(11):1006-1010 Wang Xiaojun,Qiu Zhiping.Robust reliability of structural vibration[J].Journal of Beijing University of Aeronautics and Astronautics,2003,29(11):1006-1010(in Chinese) [10] 仝宗凯,王寿梅,邱志平.不确定初缺陷简支梁非线性屈曲载荷的确定[J].北京航空航天大学学报, 2000,26(4):424-427 Tong Zongkai,Wang Shoumei,Qiu Zhiping. Determination of non-linear buckling load for simple supported beam with bounded initial imperfection[J].Journal of Beijing University of Aeronautics and Astronautics,2000,26(4):424-427(in Chinese) [11] 仝宗凯,王寿梅,邱志平.用区间牛顿法跟踪结构的后屈曲路径[J].北京航空航天大学学报,2000,26(5):535-538 Tong Zongkai,Wang Shoumei,Qiu Zhiping. Application of nonlinear interval iteration method to post-buckling analysis of structures[J].Journal of Beijing University of Aeronautics and Astronautics,2000,26(5):535-538(in Chinese)
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