具有非零最小弯曲刚度梁在多载荷情况作用下的等强度设计
Uniform Strength Design of Beams with Non-Zero Minimum Flexural Rigidity under Multiple Loadings
-
摘要: 用最小余能原理对静不定梁进行等强度设计的解析方法被推广到有指定的非零最小弯曲刚度约束和多载荷工作情况的情形.并提出了一个求解等强度设计的数值方法,因而对有任意截面形式的梁,在几个任意分布的载荷情况作用下,且考虑最小弯曲刚度约束这一最一般情形得到了统一的等强度设计解法.Abstract: The analytical method for uniform strength design (U.S.D.) of statically indeterminate beams is extended to deal with a preassigned constraint of non-zero minimum flexural rigidity and multiple load cases. And a numerical method of finding the U.S.D. is presented. Therefore we have a uniform procedure of solution of U.S.D. to beams with arbitrary cross-sectional shape and acted upon by several loadings and subjected to the constraint of minimum flexural rigidity.
-
[1] 唐燮黎、叶开沅,静不定梁的等强度设计,应用数学和力学,6,12(1985), 1053-1060. [2] Washizu, Kyuichiro, Yariaiional Methods in Elasticity and Plasticity, 3rd edition, Pergamon Press (1982). [3] 孙训方等编,《材料力学》(上册),人民教育出版社(1979). [4] Hildebrand, F, B.,Introduction to Numerical Analysis, 2nd edition, McGraw-Hill Inc(1974). [5] 刘德贵等编,《Fortran算法汇编》第一分册,国防工业出版社(1980). -
点击查看大图
计量
- 文章访问数: 1607
- HTML全文浏览量: 56
- PDF下载量: 555
- 被引次数: 0
下载:
