The three-dimensional vibration analysis of a cantilevered skewed helicoidal thick shell

O. G. McGee

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

The first known three-dimensional (3-D) vibration solutions for cantilevered skewed helicoidal thick shells are presented. the Ritz method is used to minimize the 3-D elasticity-based dynamical energies with displacements approximated by mathematically complete polynomials satisfying the clamped boundary conditions exactly. the accuracy of the method is established by convergence studies explicitly showing the effects of thickness ratio and twist angle in the presence of shell skewness. Results obtained using the present Ritz method are compared with those obtained in a detailed 3-D finite element analysis, where the correctness of various solid element discretizations are examined. This work offers some useful 3-D vibration results for the title problem with which future solutions drawn from higher-order thick shell theories may be compared.

Original languageEnglish
Pages (from-to)1431-1444
Number of pages14
JournalJournal of the Acoustical Society of America
Volume93
Issue number3
DOIs
StatePublished - Mar 1993

Fingerprint Dive into the research topics of 'The three-dimensional vibration analysis of a cantilevered skewed helicoidal thick shell'. Together they form a unique fingerprint.

Cite this