NDLI: Uncertainty quantification in bending analysis of moderately thick plates with elastically restrained edges using the Chaotic Radial Basis Function

Content Provider	Springer Nature Link
Author	Bahmyari, Ehsan Khedmati, Mohammad Reza
Copyright Year	2017
Abstract	A novel computational scheme called the Chaotic Radial Basis Function is presented in this paper for quantification of uncertainties in bending analysis of moderately thick plates with elastically restrained edges under lateral loading. The plate modulus of elasticity, the stiffness of the elastically restrained edges, and the lateral loading on the plate are considered as random processes and are represented by using the Karhunen–Loève expansion which is based on a linear combination of the eigenfunctions of the covariance function with uncorrelated random variables. These random variables which could have any types of probability measures constitute the random space of the stochastic problem. The proposed method relies on discretizing the random space by a set of properly distributed nodes and then employing a Galerkin-Chaotic Radial Basis Function scheme to derive the coupled deterministic set of equations governing the stochastic plate bending. The accuracy of the proposed method is investigated by comparing the results obtained by the method with those of the Monte Carlo method. It is seen that the presented method provides accurate results with a considerably less computational cost in comparison to the Monte Carlo simulation. Further, the effect of coefficients of variations of the plate module of elasticity, applied loading and the stiffness of the restrained edges as well as the influence of the correlation lengths, aspect ratio and the plate thickness are investigated on the statistics of the plate deflection.
Starting Page	2083
Ending Page	2105
Page Count	23
File Format	PDF
ISSN	00015970
Journal	Acta Mechanica
Volume Number	228
Issue Number	6
e-ISSN	16196937
Language	English
Publisher	Springer Vienna
Publisher Date	2017-02-25
Publisher Place	Vienna
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Theoretical and Applied Mechanics Classical and Continuum Physics Continuum Mechanics and Mechanics of Materials Structural Mechanics Vibration, Dynamical Systems, Control Engineering Thermodynamics, Heat and Mass Transfer
Content Type	Text
Resource Type	Article
Subject	Mechanical Engineering Computational Mechanics

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Analysis of thick plates by radial basis functions

Benchmark solution for free vibration of functionally graded moderately thick annular sector plates

Local buckling of moderately thick stepped skew viscoelastic composite plates using the element-free Galerkin method

The derivation of the equations of moderately thick plates by the method of successive approximations

A high-performance parametrized mixed finite element model for bending and vibration analyses of thick plates

Bending and vibration analysis of generalized gradient elastic plates

On the boundary layer phenomenon in bending of thick annular sector plates using third-order shear deformation theory

Treatment of elastically restrained ends for beam buckling in finite difference, microstructured and nonlocal beam models

Perturbation methods for moderately elliptical plates with a core

Uncertainty quantification in bending analysis of moderately thick plates with elastically restrained edges using the Chaotic Radial Basis Function

Similar Documents

Analysis of thick plates by radial basis functions

Benchmark solution for free vibration of functionally graded moderately thick annular sector plates

Local buckling of moderately thick stepped skew viscoelastic composite plates using the element-free Galerkin method

The derivation of the equations of moderately thick plates by the method of successive approximations

A high-performance parametrized mixed finite element model for bending and vibration analyses of thick plates

Bending and vibration analysis of generalized gradient elastic plates

On the boundary layer phenomenon in bending of thick annular sector plates using third-order shear deformation theory

Treatment of elastically restrained ends for beam buckling in finite difference, microstructured and nonlocal beam models

Perturbation methods for moderately elliptical plates with a core

Uncertainty quantification in bending analysis of moderately thick plates with elastically restrained edges using the Chaotic Radial Basis Function