GBT-Based Vibration Analysis Using the Exact Element Method

被引:8
作者
Bebiano, Rui [1 ]
Eisenberger, Moshe [2 ]
Camotim, Dinar [3 ]
Goncalves, Rodrigo [4 ]
机构
[1] Univ Lisbon, Inst Super Tecn, CERIS, ICIST,DECivil, Lisbon, Portugal
[2] Technion, Fac Civil & Environm Engn, Haifa, Israel
[3] Univ Lisbon, Inst Super Tecn, Lisbon, Portugal
[4] Univ Nova Lisboa, Dept Engn Civil, Fac Ciencias & Tecnol, CERIS,ICIST, Lisbon, Portugal
关键词
Thin-walled members; free vibration; generalized beam theory (GBT); exact element method; power series solution; GENERALIZED BEAM THEORY; THIN-WALLED MEMBERS; CROSS-SECTION MEMBERS; BUCKLING ANALYSIS; CYLINDRICAL-SHELLS; SUPPORT CONDITIONS; DYNAMIC-ANALYSIS; LOADS; COMPRESSION; FORMULATION;
D O I
10.1142/S0219455418500682
中图分类号
TU [建筑科学];
学科分类号
0813 ;
摘要
Generalized Beam Theory (GBT), intended to analyze the structural behavior of prismatic thinwalled members and structural systems, expresses the member deformed configuration as a combination of cross-section deformation modes multiplied by the corresponding longitudinal amplitude functions. The determination of the latter, often the most computer-intensive step of the analysis, is almost always performed by means of GBT-based "conventional" 1D (beam) finite elements. This paper presents the formulation, implementation and application of the so-called "exact element method" in the framework of GBT-based elastic free vibration analyses. This technique, originally proposed by Eisenberger (1990), uses the power series method to solve the governing differential equations and obtains the vibration eigenvalue problem from the boundary terms. A few illustrative numerical examples are presented, focusing mainly on the comparison between the combined accuracy and computational effort associated with the determination of vibration solutions with the exact and conventional GBT-based (finite) elements. This comparison shows that the GBT-based exact element method may lead to significant computational savings, particularly when the vibration modes exhibit large half-wave numbers.
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页数:31
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