圆环壳在一般荷载下的轴对称问题
Axisymmetry Problems of Ring Shells under Arbitrary Distributed Loads
-
摘要: 本文推广Новжилов变换,对圆环壳在任意荷载作用下的轴对称问题进行了成功地简化,得到了问题的H.Новжилов型复变量方程.求得了方程的特解,结合钱伟长的齐次方程一般解,给出了环壳一般轴对称问题的一般解答.讨论了常见载荷和闭合环壳情形.Abstract: Extending Novozhilov's transformation,this paper simplifies successfully the aaisymmetry problems of ring shells under arbitrary distributed loads,and the equation of the problems in complex form which is similar to Novozhilov's is obtained.The particular solution is given.Combining with Chien's general solution of homogeneous equation,this paper gives the general solution for the general symmetry problems of ring shells.Various examples of useful loads and closed ring shells are discussed respectively.
-
[1] Keissner,H.,Múller-Bresdau-Festschrift,Leipzig(1912).181. [2] Meissner,E.,Physik,Zeiis,14(1913),343. [3] Tölke,F Ingenicur Archiu,9(1938).282(以上引自[6]). [4] Clark,R,A.,J.Moth,and Physics,29(1950).146-178. [5] Новожилов В.В.,《薄壳理论》,科学出版社,北京(1959) [6] 钱伟长、郑思梁,清华大学学报,19(1979),27-47. [7] 张维,清华大学理科报告,5A(1949),289-349. [8] Clark,R,A Quart.of Appd,Math.,Mech 16(1958).47-60. [9] Clark,R.A Trans.ASME,J.Appd.Mech Ser E 37(1970),61-69. [10] Turner C E and H Ford,proc Inst.Mech Engng.,15(1957),526-550. [11] Андреева Л.Е.,идр.,Силъфоны,расчет и проек.,М.,Машцн.(1975). [12] Hamada,M.and S,Takezono,Bull,JSME,9(1966),502-523. [13] 钱伟长、郑思梁.应用数学和力学.1(1980),287-I99. [14] 钱伟长、郑思梁,应用数学和力学.2(1981),97-111. [15] 钱伟长,清华大学学报,18(1979),84-99. [16] 陈山林,成都科技大学学报,3(1982),49-58.
计量
- 文章访问数: 2042
- HTML全文浏览量: 196
- PDF下载量: 823
- 被引次数: 0