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RISS 인기검색어
- 검색키워드
- 저자 : Magdi Mohareb (검색결과 2 건)
- 무료
- 기관 내 무료
- 유료
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Torsional flexural steady state response of monosymmetric thin-walled beams under harmonic loads
Hjaji, Mohammed A.,Mohareb, Magdi Techno-Press 2014 Structural Engineering and Mechanics, An Int'l Jou Vol.52 No.4
Starting with Hamilton's variational principle, the governing field equations for the steady state response of thin-walled beams under harmonic forces are derived. The formulation captures shear deformation effects due to bending and warping, translational and rotary inertia effects and as well as torsional flexural coupling effects due to the cross section mono-symmetry. The equations of motion consist of four coupled differential equations in the unknown displacement field variables. A general closed form solution is then developed for the coupled system of equations. The solution is subsequently used to develop a family of shape functions which exactly satisfy the homogeneous form of the governing field equations. A super-convergent finite element is then formulated based on the exact shape functions. Key features of the element developed include its ability to (a) isolate the steady state response component of the response to make the solution amenable to fatigue design, (b) capture coupling effects arising as a result of section mono-symmetry, (c) eliminate spatial discretization arising in commonly used finite elements, (d) avoiding shear locking phenomena, and (e) eliminate the need for time discretization. The results based on the present solution are found to be in excellent agreement with those based on finite element solutions at a small fraction of the computational and modelling cost involved.
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Torsional flexural steady state response of monosymmetric thin-walled beams under harmonic loads
Mohammed A. Hjaji,Magdi Mohareb 국제구조공학회 2014 Structural Engineering and Mechanics, An Int'l Jou Vol.52 No.4
Starting with Hamilton’s variational principle, the governing field equations for the steady stateresponse of thin-walled beams under harmonic forces are derived. The formulation captures sheardeformation effects due to bending and warping, translational and rotary inertia effects and as well astorsional flexural coupling effects due to the cross section mono-symmetry. The equations of motion consistof four coupled differential equations in the unknown displacement field variables. A general closed formsolution is then developed for the coupled system of equations. The solution is subsequently used to developa family of shape functions which exactly satisfy the homogeneous form of the governing field equations. Asuper-convergent finite element is then formulated based on the exact shape functions. Key features of theelement developed include its ability to (a) isolate the steady state response component of the response tomake the solution amenable to fatigue design, (b) capture coupling effects arising as a result of sectionmono-symmetry, (c) eliminate spatial discretization arising in commonly used finite elements, (d) avoidingshear locking phenomena, and (e) eliminate the need for time discretization. The results based on the presentsolution are found to be in excellent agreement with those based on finite element solutions at a smallfraction of the computational and modelling cost involved.
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