A finite element code for thin plate dynamics

DOI10.1016/0378-4754(88)90056-0zbMath0658.73054OpenAlexW1994363871MaRDI QIDQ1111816

Ayse Alaylioglu

Publication date: 1988

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4754(88)90056-0

zbMATH Keywords

analytically integrated finite element formalismautomated integratorsdisplacement methodologyHamilton principle interactionHermite interpolatory polynomial displacement representationhybrid finite element systemnonreduced integral implementationone-point Gauss integrated modelresults are free from the hourglass instabilitiesstabilization of the underintegrated elementthin plate simulatorvibration mode predictions

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05)

Cites Work

• Unnamed Item
• Effective hybrid hierarchical element generator for vibration analysis of plates
• TRUNC for shells—an element possibly to the taste of Bruce Irons
• Calculation of the natural frequencies and steady state response of thin plates in bending by an improved rectangular element
• Calculation of vibration frequencies by a hybrid element method based on a generalized complementary energy principle
• Development of a finite dynamic element for free vibration analysis of two-dimensional structures
• Thin plate semiloof element for structural analysis-including stability and natural vibrations
• Analysis of Heterogeneous Anisotropic Plates
• The free vibration of rectangular plates

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