| 直梁强度和刚度的模糊计算 |
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| 引用本文： | 马春翔,付宝连,吴从炘.直梁强度和刚度的模糊计算[J].燕山大学学报,1990(3). |
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| 作者姓名： | 马春翔 付宝连 吴从炘 |
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| 作者单位： | 燕山大学，燕山大学，哈尔滨工业大学 |
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| 摘 要： | 本文定义了具有不同论域的模糊集与通常函数的乘积、乘积的导数和积分,给出了具有相同模糊特性的模糊载荷的数学表征。导出了细长直梁横向弯曲时模糊外载、模糊内力和模糊挠度之间的基本模糊关系。通过引入不同论域的模糊集的加法,讨论了在不同模糊特性的模糊载菏作用下模糊挠度的计算。最后,对梁的可靠度计算进行了讨论。
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| 关 键 词： | 模糊集 相同模糊特性 模糊载荷 可靠度 |
Fuzzy Calculation of Strength and Rigidity of Straight Beams |
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| Ma Chunxiang,Fu Baolian,Wu Congxin.Fuzzy Calculation of Strength and Rigidity of Straight Beams[J].Journal of Yanshan University,1990(3). |
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| Authors: | Ma Chunxiang Fu Baolian Wu Congxin |
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| Abstract: | In this paper, the multiplication, the derivate and the integration of the multiplication between fuzzy set and general function with unidentical regions are defined: the mathematical expressions of the fuzzy loads with same fuzzy characteristic are given. The basic fuzzy relations among fuzzy external load, fuzzy internal force and fuzzy deflection are derived when thin, long and straight beams are bent in vertical direction. Then, the addition between the fuzzy sets in unidentical regions is introduced, Based on the addition, the calculation of fuzzy deflection is discussed when the fuzzy loads with unidentical fuzzy characteristics act on beams. Finally, the reliability calculstions of the beams are discussed. |
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| Keywords: | fuzzy set identical fuzzy characteristic fuzzy load reliability |
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