Large deflections and vibrations of a tip pulled beam with variable transversal section

Kurka, Paulo Roberto Gardel; Izuka, Jaime Hideo; Gonzalez, Paola; Teixeira, Luis Henrique Da Silva

doi:10.1016/j.ymssp.2016.02.038

Cited by 3 publications

(1 citation statement)

References 26 publications

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“…Considering that the beam-shaped structures have been widely used in micro-and nano-electromechanical systems, Karparvarfard et al [23] developed a new geometrically nonlinear elastic size-dependent Euler-Bernoulli beam formulation in the framework of the second strain theory and the corresponding end conditions were also given. Kurka et al [24] proposed a simplified numerical model of a long flexible beam with variable cross section. Jeong and Yoo [25] proposed a nonlinear modeling method to conduct the static and dynamic analyses of a flexible beam using the in-extensible beam assumption.…”

Section: Introductionmentioning

confidence: 99%

Geometrically Nonlinear Analysis for Elastic Beam Using Point Interpolation Meshless Method

Wang

et al. 2019

Shock and Vibration

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The intrinsic beam theory, as one of the exact beam formulas, is quite suitable to describe large deformation of the flexible curved beam and has been widely used in many engineering applications. Owing to the advantages of the intrinsic beam theory, the resulted equations are expressed in first-order partial differential form with second-order nonlinear terms. In order to solve the intrinsic beam equations in a relative simple way, in this paper, the point interpolation meshless method was employed to obtain the discretization equations of motion. Different from those equations by using the finite element method, only the differential of the shape functions are needed to form the final discrete equations. Thus, the present method does not need integration process for all elements during each time step. The proposed method has been demonstrated by a numerical example, and results show that this method is highly efficient in treating this type of problem with good accuracy.

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Section: Introductionmentioning

confidence: 99%

Geometrically Nonlinear Analysis for Elastic Beam Using Point Interpolation Meshless Method

Wang

et al. 2019

Shock and Vibration

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Small-Amplitude free vibrations of straight beams subjected to large displacements and rotation

Eroğlu

Tüfekçi

2018

Applied Mathematical Modelling

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A Dynamical Model for the Control of a Guyed Tensegrity Beam Under Large Displacements

Kurka,

Paiva,

Silva-Teixeira

et al. 2024

Journal of Mechanisms and Robotics

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Most studies regarding models of tensegrity systems miss the possibility of large static deformations or provide elaborate and lengthy solutions to determine the system dynamics. Contrarily, this work presents a straightforward methodology to find the dynamic characteristics of a guyed tensegrity beam structure, allowing the application of vibration control strategies in conditions of large deformations. The methodology is based on a low order, adaptive, nonlinear finite element model with pre-stressed components. The method is applied to numerical and experimental models of a class 2 tensegrity structure with a high length-to-width aspect ratio. Image processing and accelerometer data are combined to extract the experimental natural frequencies of the structure, which are compared to numerical results. Prony's method is applied to estimate damping.

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Large deflections and vibrations of a tip pulled beam with variable transversal section

Cited by 3 publications

References 26 publications

Geometrically Nonlinear Analysis for Elastic Beam Using Point Interpolation Meshless Method

Geometrically Nonlinear Analysis for Elastic Beam Using Point Interpolation Meshless Method

Small-Amplitude free vibrations of straight beams subjected to large displacements and rotation

A Dynamical Model for the Control of a Guyed Tensegrity Beam Under Large Displacements

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