Matches in SemOpenAlex for { <https://semopenalex.org/work/W2977269344> ?p ?o ?g. }
Showing items 1 to 99 of
99
with 100 items per page.
- W2977269344 abstract "Abstract This paper presents a general approach for the free vibration analysis of curvilinearly stiffened rectangular and quadrilateral plates using the Ritz method by employing classical orthogonal Jacobi polynomials. Both the plate and stiffeners are modeled using first-order shear deformation theory (FSDT). The displacement and rotations of the plate and stiffeners are approximated by separate sets of Jacobi polynomials. The ease of modification of the Jacobi polynomials enables the Jacobi weight function to satisfy geometric boundary conditions without loss of orthogonality. The distinctive advantage of Jacobi polynomials, over other polynomial-based trial functions, lies in that their use eliminates the well-known ill-conditioning issues when a high number of terms are used in the Ritz method, e.g., to obtain higher modes required for vibro-acoustic analysis. In this paper, numerous case studies are undertaken by considering various sets of boundary conditions. The results are verified both with the detailed finite element analysis (FEA) using commercial software msc.nastran and with those available in the open literature. New formulation and results include: (i) exact boundary condition enforcement through Jacobi weight function for FSDT, (ii) formulation of quadrilateral plates with curvilinear stiffeners, and (iii) use of higher order Gauss quadrature scheme for required integral evaluations to obtain higher modes. It is demonstrated that the presented method provides good numerical stability and highly accurate results. The given new numerical results and convergence studies may serve as benchmark solutions for validating the new computational techniques." @default.
- W2977269344 created "2019-10-10" @default.
- W2977269344 creator A5047841017 @default.
- W2977269344 creator A5051452494 @default.
- W2977269344 creator A5083709159 @default.
- W2977269344 date "2019-11-18" @default.
- W2977269344 modified "2023-10-17" @default.
- W2977269344 title "Vibration of Curvilinearly Stiffened Plates Using Ritz Method With Orthogonal Jacobi Polynomials" @default.
- W2977269344 cites W1972597739 @default.
- W2977269344 cites W1980019201 @default.
- W2977269344 cites W1995526331 @default.
- W2977269344 cites W2000017501 @default.
- W2977269344 cites W2004619695 @default.
- W2977269344 cites W2008863112 @default.
- W2977269344 cites W2012439520 @default.
- W2977269344 cites W2014803667 @default.
- W2977269344 cites W2015064505 @default.
- W2977269344 cites W2025497865 @default.
- W2977269344 cites W2030442218 @default.
- W2977269344 cites W2034275571 @default.
- W2977269344 cites W2044942206 @default.
- W2977269344 cites W2062095340 @default.
- W2977269344 cites W2075306962 @default.
- W2977269344 cites W2084344696 @default.
- W2977269344 cites W2092650507 @default.
- W2977269344 cites W2101993489 @default.
- W2977269344 cites W2129487594 @default.
- W2977269344 cites W2173253990 @default.
- W2977269344 cites W2464441636 @default.
- W2977269344 cites W2532464934 @default.
- W2977269344 cites W2561079129 @default.
- W2977269344 cites W2587076076 @default.
- W2977269344 cites W2731799208 @default.
- W2977269344 cites W2781904669 @default.
- W2977269344 cites W3150391404 @default.
- W2977269344 cites W4230168603 @default.
- W2977269344 doi "https://doi.org/10.1115/1.4045098" @default.
- W2977269344 hasPublicationYear "2019" @default.
- W2977269344 type Work @default.
- W2977269344 sameAs 2977269344 @default.
- W2977269344 citedByCount "8" @default.
- W2977269344 countsByYear W29772693442020 @default.
- W2977269344 countsByYear W29772693442021 @default.
- W2977269344 countsByYear W29772693442023 @default.
- W2977269344 crossrefType "journal-article" @default.
- W2977269344 hasAuthorship W2977269344A5047841017 @default.
- W2977269344 hasAuthorship W2977269344A5051452494 @default.
- W2977269344 hasAuthorship W2977269344A5083709159 @default.
- W2977269344 hasConcept C10628310 @default.
- W2977269344 hasConcept C127413603 @default.
- W2977269344 hasConcept C134306372 @default.
- W2977269344 hasConcept C134466208 @default.
- W2977269344 hasConcept C135628077 @default.
- W2977269344 hasConcept C151756577 @default.
- W2977269344 hasConcept C167196314 @default.
- W2977269344 hasConcept C182310444 @default.
- W2977269344 hasConcept C21575042 @default.
- W2977269344 hasConcept C28826006 @default.
- W2977269344 hasConcept C33923547 @default.
- W2977269344 hasConcept C48265008 @default.
- W2977269344 hasConcept C48490523 @default.
- W2977269344 hasConcept C62354387 @default.
- W2977269344 hasConcept C66938386 @default.
- W2977269344 hasConcept C67923128 @default.
- W2977269344 hasConceptScore W2977269344C10628310 @default.
- W2977269344 hasConceptScore W2977269344C127413603 @default.
- W2977269344 hasConceptScore W2977269344C134306372 @default.
- W2977269344 hasConceptScore W2977269344C134466208 @default.
- W2977269344 hasConceptScore W2977269344C135628077 @default.
- W2977269344 hasConceptScore W2977269344C151756577 @default.
- W2977269344 hasConceptScore W2977269344C167196314 @default.
- W2977269344 hasConceptScore W2977269344C182310444 @default.
- W2977269344 hasConceptScore W2977269344C21575042 @default.
- W2977269344 hasConceptScore W2977269344C28826006 @default.
- W2977269344 hasConceptScore W2977269344C33923547 @default.
- W2977269344 hasConceptScore W2977269344C48265008 @default.
- W2977269344 hasConceptScore W2977269344C48490523 @default.
- W2977269344 hasConceptScore W2977269344C62354387 @default.
- W2977269344 hasConceptScore W2977269344C66938386 @default.
- W2977269344 hasConceptScore W2977269344C67923128 @default.
- W2977269344 hasIssue "1" @default.
- W2977269344 hasLocation W29772693441 @default.
- W2977269344 hasOpenAccess W2977269344 @default.
- W2977269344 hasPrimaryLocation W29772693441 @default.
- W2977269344 hasRelatedWork W2003934994 @default.
- W2977269344 hasRelatedWork W2014373221 @default.
- W2977269344 hasRelatedWork W2043870601 @default.
- W2977269344 hasRelatedWork W2069315824 @default.
- W2977269344 hasRelatedWork W2095380571 @default.
- W2977269344 hasRelatedWork W2894160427 @default.
- W2977269344 hasRelatedWork W2909632126 @default.
- W2977269344 hasRelatedWork W2977269344 @default.
- W2977269344 hasRelatedWork W3021082184 @default.
- W2977269344 hasRelatedWork W2182378258 @default.
- W2977269344 hasVolume "142" @default.
- W2977269344 isParatext "false" @default.
- W2977269344 isRetracted "false" @default.
- W2977269344 magId "2977269344" @default.
- W2977269344 workType "article" @default.