Abstract
For some cases the rules of monosource fuzzy numbers can be used into the solution of fuzzy stochastic finite element equations in engineering. This method can reduce the computing quantity of the solution. It can be proved that the amount of the solution is nearly as much as that with the general stochastic finite element method (SFEM). In addition, a new method to appreciate the structural fuzzy failure probability is presented for the needs of the modern engineering design.
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References
Isaac Elishakoff: Three versions of the finite element method based on concepts of either stochasticity, fuzziness, or anti-optimization[J].Appl Mech Rev, 1998,51(3):209–218.
LÜ En-lin. Perturbational solutions for fuzzy-stochastic finite element equilibrium equations[J].Applied Mathematics and Mechanics (English Edition), 1997,18(7):679–688.
YU Zhi-tao, LÜ En-lin, WANG Cai-hua. A method of solving the strutural fuzzy finite element equilibrium equations[J].Journal of Chongqing University, 1996,19(1):53–58. (in Chinese)
WAN Bai-sheng. Monosource fuzzy numbers and their operations[J].Fuzzy Systems and Mathematics, 1998,12(2):49–53. (in Chinese)
NANGONG Zi-jun, WANG Liang, ZHANG Ze. An improved method of structure reliability analysis[J].Journal of Northwestern Polytechnical University, 1998,16(4):599–602. (in Chinese)
WANG Guang-yuan, WANG Wen-quan. Fuzzy reliability analysis of aseismic structures[J].Acta Mechanica Sinica, 1986,18(5):448–455. (in Chinese)
YANG Shong-lin.Fuzziness Method and Its Engineering Application [M]. Beijing: National Defense Engineering Press, 1996. (in Chinese)
CHEN Qiu, LIU Xian-bin.Stochastic Finite Element Method and Its Engineering Applications[M]. Chengdu: Southwest Jiaotong University Press, 1993. (in Chinese)
ZHOU Ze-gong, et al.The Probabilistic Fractural Mechanics to the Spherical Tanks[M]. Beijing: China Petrochemical Press, 1996. (in Chinese)
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Communicated by ZHANG Ru-qing
Foundation item: the National Natural Science Foundation of China(59678039)
Biography: LIU Chang-hong (1957-)
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Chang-hong, L., Qiu, C. A method of solving the fuzzy finite element equations in monosource fuzzy numbers. Appl Math Mech 21, 1272–1276 (2000). https://doi.org/10.1007/BF02459248
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DOI: https://doi.org/10.1007/BF02459248