Results 161 to 170 of about 1,610,952 (250)
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Structural Mechanics in Lightweight Engineering, 2021
The Euler-Bernoulli beam theory is based on the fundamental hypothesis that the cross sections remain plane and that the normal hypothesis is valid, i.e. a beam is assumed where shear strains of the cross section are explicitly excluded.
C. Mittelstedt
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The Euler-Bernoulli beam theory is based on the fundamental hypothesis that the cross sections remain plane and that the normal hypothesis is valid, i.e. a beam is assumed where shear strains of the cross section are explicitly excluded.
C. Mittelstedt
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2021
This chapter presents the analytical description of thick, or so-called shear-flexible, beam members according to the Timoshenko theory. Based on the three basic equations of continuum mechanics, i.e., the kinematics relationship, the constitutive law, and the equilibrium equation, the partial differential equations, which describe the physical problem,
A. Öchsner
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This chapter presents the analytical description of thick, or so-called shear-flexible, beam members according to the Timoshenko theory. Based on the three basic equations of continuum mechanics, i.e., the kinematics relationship, the constitutive law, and the equilibrium equation, the partial differential equations, which describe the physical problem,
A. Öchsner
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Computer Methods in Applied Mechanics and Engineering, 2018
The Timoshenko beam bending problem is formulated in the context of strain gradient elasticity for both static and dynamic analysis. Two non-standard variational formulations in the Sobolev space framework are presented in order to avoid the numerical ...
V. Balobanov, J. Niiranen
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The Timoshenko beam bending problem is formulated in the context of strain gradient elasticity for both static and dynamic analysis. Two non-standard variational formulations in the Sobolev space framework are presented in order to avoid the numerical ...
V. Balobanov, J. Niiranen
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Hybrid laminated Timoshenko beam
Journal of Mathematical Physics, 2017We consider the hybrid laminated Timoshenko beam model. This structure is given by two identical layers uniform on top of each other, taking into account that an adhesive of small thickness is bonding the two surfaces and produces an interfacial slip.
C. A. Raposo +3 more
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Boundary Control of the Timoshenko Beam
SIAM Journal on Control and Optimization, 1987The paper investigates uniform stabilization of the Timoshenko beam with boundary control. The main result of the first part, established by means of the energy method combined with \(C_ 0\)-semigroup theory, is that the natural energy of the beam decays exponentially fast.
Kim, Jong Uhn, Renardy, Yuriko
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Exact microstructure-dependent Timoshenko beam element
International Journal of Mechanical Sciences, 2016In this study, we develop an exact microstructure-dependent Timoshenko beam finite element. First, a Timoshenko beam model based on the modified couple-stress theory is reviewed briefly.
Anssi T. Karttunen +2 more
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Mathematical methods in the applied sciences, 2020
In this work, we consider a linear thermoelastic laminated timoshenko beam with distributed delay, where the heat conduction is given by cattaneoâs law. we establish the well posedness of the system.
A. Choucha, D. Ouchenane, S. Boulaaras
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In this work, we consider a linear thermoelastic laminated timoshenko beam with distributed delay, where the heat conduction is given by cattaneoâs law. we establish the well posedness of the system.
A. Choucha, D. Ouchenane, S. Boulaaras
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, 2020
A new model is developed for transversely isotropic magneto-electro-elastic Timoshenko beams by using a variational formulation based on Hamilton's principle.
G. Y. Zhang, Y. Qu, Xin-Lin Gao, F. Jin
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A new model is developed for transversely isotropic magneto-electro-elastic Timoshenko beams by using a variational formulation based on Hamilton's principle.
G. Y. Zhang, Y. Qu, Xin-Lin Gao, F. Jin
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International Journal of Mechanical Sciences, 2020
This paper aims to investigate the bending, buckling and free vibration problems of an axially loaded Timoshenko beam in a systematic manner. A recently-developed unified model is adopted, where a transition parameter characterizing the direction of the ...
X. Y. Li +4 more
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This paper aims to investigate the bending, buckling and free vibration problems of an axially loaded Timoshenko beam in a systematic manner. A recently-developed unified model is adopted, where a transition parameter characterizing the direction of the ...
X. Y. Li +4 more
semanticscholar +1 more source