Correction of node mapping distortions using universal serendipity elements in dynamical problems

Semih Küçükarslan; Ali Demir

doi:10.12989/sem.2011.40.2.245

Correction of node mapping distortions using universal serendipity elements in dynamical problems

Semih Küçükarslan^*, Ali Demir

^*Corresponding author for this work

Department of Civil Engineering

Manisa Celal Bayar University

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

In this paper, the use of universal serendipity elements (USE) to eliminate node mapping distortions for dynamic problem is presented. Rectangular shaped elements for USE are being introduced by using a flexible master element with an adjustable edge node location. The shape functions of the universal serendipity formulation are used to derive the mass and damping matrices for the dynamic analyses. These matrices eliminate the node mapping distortion errors that occurs incase of the standard shape function formulations. The verification of new formulation will be tested and the errors encountered in the standard formulation will be studied for a dynamically loaded deep cantilever.

Original language	English
Pages (from-to)	245-256
Number of pages	12
Journal	Structural Engineering and Mechanics
Volume	40
Issue number	2
DOIs	https://doi.org/10.12989/sem.2011.40.2.245
Publication status	Published - 25 Oct 2011

Keywords

Dynamic analysis
Finite element method
Node mapping distortion
Universal serendipity element (USE)

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10.12989/sem.2011.40.2.245

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AB - In this paper, the use of universal serendipity elements (USE) to eliminate node mapping distortions for dynamic problem is presented. Rectangular shaped elements for USE are being introduced by using a flexible master element with an adjustable edge node location. The shape functions of the universal serendipity formulation are used to derive the mass and damping matrices for the dynamic analyses. These matrices eliminate the node mapping distortion errors that occurs incase of the standard shape function formulations. The verification of new formulation will be tested and the errors encountered in the standard formulation will be studied for a dynamically loaded deep cantilever.

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Correction of node mapping distortions using universal serendipity elements in dynamical problems

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Keywords

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