A PROBLEM IN ELASTICITY THEORY

被引:0
作者
YURKO, VA
机构
来源
PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS | 1990年 / 54卷 / 06期
关键词
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The problem of determining the dimensions of the transverse cross-sections of a beam from the given frequencies of its natural vibrations is examined. Frequency spectra are indicated that determine the dimensions of the transverse cross-sections of the beam uniquely, an effective procedure is presented for solving the inverse problem, and a uniqueness theorem is proved. The method of standard models /1/ is used to solve the inverse problem.
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页码:820 / 824
页数:5
相关论文
共 5 条
  • [1] AINOLA LY, 1971, PMM, V35, P2
  • [2] Leontyev A. F., 1983, ENTIRE FUNCTIONS EXP
  • [3] Naimark MA, 1969, LINEINYE DIFFERENTSI, V2nd
  • [4] RASULOV ML, 1964, CONTOUR INTEGRAL MET
  • [5] YURKO VA, 1989, DIFFERENTS URAVNENIY, V25, P9