Topic
Timoshenko beam theory
About: Timoshenko beam theory is a research topic. Over the lifetime, 9426 publications have been published within this topic receiving 200570 citations.
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57 citations
TL;DR: In this paper, a continuous damage model and different simplified numerical strategies are proposed to simulate the behaviour of reinforced concrete (R/C) walls subjected to earthquake ground motions, for 2D modelling of R/C walls controlled primarily by bending, an Euler multilayered beam element is adopted.
Abstract: A continuous damage model and different simplified numerical strategies are proposed to simulate the behaviour of reinforced concrete (R/C) walls subjected to earthquake ground motions. For 2D modelling of R/C walls controlled primarily by bending, an Euler multilayered beam element is adopted. For 3D problems, a multifibre Timoshenko beam element having higher order interpolation functions has been developed. Finally, for walls with a small slenderness ratio we use the Equivalent Reinforced Concrete model. For each case, comparison with experimental results of R/C walls tested on shaking table or reaction wall shows the advantages but also the limitations of the approach.
57 citations
TL;DR: Genetic mechanical models for cross-beams six-axis force/torque sensors are proposed, in which deformable cross elastic beams and compliant beams are modeled as quasi-static Timoshenko beam, and these models are demonstrated to be an accurate estimation algorithm with higher efficiency.
Abstract: Strain distributions are crucial criteria of cross-beams six-axis force/torque sensors. The conventional method for calculating the criteria is to utilize Finite Element Analysis (FEA) to get numerical solutions. This paper aims to obtain analytical solutions of strains under the effect of external force/torque in each dimension. Genetic mechanical models for cross-beams six-axis force/torque sensors are proposed, in which deformable cross elastic beams and compliant beams are modeled as quasi-static Timoshenko beam. A detailed description of model assumptions, model idealizations, application scope and model establishment is presented. The results are validated by both numerical FEA simulations and calibration experiments, and test results are found to be compatible with each other for a wide range of geometric properties. The proposed analytical solutions are demonstrated to be an accurate estimation algorithm with higher efficiency.
57 citations
TL;DR: In this paper, a higher order beam finite element is developed for dynamic response of beams subjected to impact of elastic spheres, and the Hertzian law is used to evaluate the contact force.
Abstract: : A higher order beam finite element is developed for dynamic response of beams subjected to impact of elastic spheres. Hertzian law is used to evaluate the contact force. A step by step finite difference method is employed to integrate the time variable. The finite elements are first evaluated for homogeneous isotropic beams and excellent results are found. Impact of glass- epoxy laminates are then considered. The total energy imparted from the projectile to the laminate is computed and compared with experimental data. Good agreement is found. The present finite element procedure also allows one to separate the vibrational energy from the damage energy which is to be related to the residual strength of the composite after impact.
57 citations
TL;DR: In this article, the behavior of multilayered composite beams with interlayer slip is studied under Euler-Bernoulli and Timoshenko beam theory assumptions, along with a new description based solely on the interlayer slips, which allows easy determination of closed-form solutions for statically determinate beams.
57 citations