Interval analysis for free vibration of composite laminated beams

[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)