Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/74275
Title: Obtaining accurate modal stress-resultants in freely vibrating plates that model VLFS
Authors: Wang, C.M. 
Wang, Y.C.
Wantanbe, E.
Utsunomiya, T.
Xiang, Y.
Keywords: Modal stress-resultant
Natural boundary condition
Penalty functional
Ritz method
Vibration
VLFS
Issue Date: 2001
Source: Wang, C.M.,Wang, Y.C.,Wantanbe, E.,Utsunomiya, T.,Xiang, Y. (2001). Obtaining accurate modal stress-resultants in freely vibrating plates that model VLFS. Proceedings of the International Offshore and Polar Engineering Conference 1 : 272-278. ScholarBank@NUS Repository.
Abstract: This paper highlights the problem of obtaining accurate modal stress-resultants, in particular twisting moments and shear forces, for thin vibrating plates that model Very Large Floating Structures (VLFS) when using the Ritz method in conjunction with mathematically complete two-dimensional polynomials as Ritz functions. The twisting moments and shear forces are observed to violate the natural boundary conditions and contain "oscillations". The use of Chebyshev polynomials and trigonometric series as Ritz functions do not solve the problem. Penalty functionals enable the stress-resultants to satisfy the natural boundary conditions but they magnify the oscillations. Based on existing exact solutions of rectangular plates with simply supported and free edges, it was found that the aforementioned problem can be remedied by a post-processing step involving the curve fitting of the "oscillating" results computed from the Ritz method with penalty functionals.
Source Title: Proceedings of the International Offshore and Polar Engineering Conference
URI: http://scholarbank.nus.edu.sg/handle/10635/74275
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