Modal Analysis of a Non-Circular Cylindrical Laminated Shell Using Conformal Mapping
Source abstract
Abstract
This paper presents a method to analyze the free and forced vibration responses of a finite uniform cylindrical shell. The cross section of the shell is a square with rounded corners. This geometry makes the analysis of the system difficult. The approach in this work is to apply a conformal mapping to map the physical domain onto a circular cylindrical domain. The Rayleigh-Ritz method is applied to solve for the solution. Numerical results of the mode shapes and the forced response at different frequencies are presented.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Composite Structure Analysis and Optimization · Topology Optimization in Engineering · Structural Load-Bearing Analysis
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Department of Mechanical Engineering, University of Delaware Newark, DE 19716, USA
References (30)
Show source-provided references
1. 10.2514/3.632410.2514/3.6324 ↗
2. 10.1016/0022-460X(82)90436-910.1016/0022-460X(82)90436-9 ↗
3. B. I. Slepov · 826
4. 10.2514/3.638810.2514/3.6388 ↗
5. 10.1115/1.342421710.1115/1.3424217 ↗
6. 10.2514/3.819310.2514/3.8193 ↗
7. 10.1016/S0022-460X(82)80023-010.1016/S0022-460X(82)80023-0 ↗
8. 10.1016/0022-460X(83)90292-410.1016/0022-460X(83)90292-4 ↗
9. 10.1016/0020-7683(95)00227-810.1016/0020-7683(95)00227-8 ↗
10. 10.1016/0021-8928(73)90072-510.1016/0021-8928(73)90072-5 ↗
11. 10.1016/S0022-460X(73)80287-110.1016/S0022-460X(73)80287-1 ↗
12. 10.1299/jsme1958.26.81810.1299/jsme1958.26.818 ↗
13. 10.1016/0022-460X(90)90837-P10.1016/0022-460X(90)90837-P ↗
14. 10.1115/1.293012510.1115/1.2930125 ↗
15. 10.2514/3.2520310.2514/3.25203 ↗
16. 10.1080/1478644430852083210.1080/14786444308520832 ↗
17. N. I. Muskhelishvili · 1953
18. E. H. Mansfield · 1964
19. 10.1115/1.342384010.1115/1.3423840 ↗
20. 10.1016/0022-460X(83)90588-610.1016/0022-460X(83)90588-6 ↗
21. 10.1016/0022-460X(84)90264-510.1016/0022-460X(84)90264-5 ↗
22. J. R. Vinson
23. K. P. K. Potty
24. Z. Chen · 187
25. J. M. M. Hernandez · 1995
26. A. W. Leissa · 1973
27. V. V. Novozhilov · 1953
28. J. R. Vinson · 1987
29. J. R. Vinson · 1992
30. L. Meirovitch · 1967