2009
DOI: 10.3846/1392-3730.2009.15.87-93
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Investigation of Static and Dynamic Behavior of Anisotropic Inhomogeneous Shallow Shells by Spline Approximation Method

Abstract: Abstract. The present report proposes an efficient approach to solving within the framework of the classic and refined models the stress-strain problems of shallow shells as well as the problems on free vibrations. In accordance with the approach the initial system of partial differential equations is reduced to one-dimensional problems by using approximation of the solution in terms of basic splines in one coordinate. The boundary-value problems obtained and eigenvalue boundary-value problems for systems of o… Show more

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Cited by 10 publications
(7 citation statements)
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“…They followed the solution in time-domain and frequency-domain analysis. In the recent days of advancement, non-linear dynamic response analysis of spar and similar structures has been carried out by a few scholars (Grigorenko, Yaremchenko 2009;Islam et al 2011a;Kim, Lee 2011;Noorzaei et al 2010). Umar and Datta (2003) have shown the non-linear response conduct of a moored buoy.…”
Section: Introductionmentioning
confidence: 99%
“…They followed the solution in time-domain and frequency-domain analysis. In the recent days of advancement, non-linear dynamic response analysis of spar and similar structures has been carried out by a few scholars (Grigorenko, Yaremchenko 2009;Islam et al 2011a;Kim, Lee 2011;Noorzaei et al 2010). Umar and Datta (2003) have shown the non-linear response conduct of a moored buoy.…”
Section: Introductionmentioning
confidence: 99%
“…In order to solve two-dimensional boundary-value problems of the class under consideration, the desired solution is approximated by spline functions in one coordinate direction, and the resulting one-dimensional boundary-value problem is solved by the stable discrete-orthogonalization method in Grigorenko and Yaremchenko [7,8].…”
Section: Problem Solving Methodsmentioning
confidence: 99%
“…Ma and Patel (2001) have conducted parametric studies on Spar and TLP for different depths. Sarkar and Roesset (2004), Grigorenko and Yaremchenko (2009), Kim and Lee (2011), Noorzaei et al (2010) carried out static as well as dynamic analysis for differ-ent environmental conditions and evaluated the response behaviour. Low and Langley (2007) have compared the methods for the couple analysis of floating structures.…”
Section: Introductionmentioning
confidence: 99%