Relevant bibliographies by topics / Euler-Bernoulli Double Beam

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  2. Dissertations / Theses
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Academic literature on the topic 'Euler-Bernoulli Double Beam'

Author: Grafiati
Published: 4 June 2021
Last updated: 13 February 2022

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Journal articles on the topic "Euler-Bernoulli Double Beam"

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Karaoglu, P., and M. Aydogdu. "On the forced vibration of carbon nanotubes via a non-local Euler—Bernoulli beam model." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 224, no. 2 (2010): 497–503. http://dx.doi.org/10.1243/09544062jmes1707.

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This article studies the forced vibration of the carbon nanotubes (CNTs) using the local and the non-local Euler—Bernoulli beam theory. Amplitude ratios for the local and the non-local Euler—Bernoulli beam models are given for single- and double-walled CNTs. It is found that the non-local models give higher amplitudes when compared with the local Euler—Bernoulli beam models. The non-local Euler—Bernoulli beam model predicts lower resonance frequencies.
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Mazur-Śniady, Krystyna, Katarzyna Misiurek, Olga Szyłko-Bigus, and Paweł Śniady. "Fuzzy Stochastic Vibrations of Double-Beam Complex System as Model Sandwich Beam with Uncertain Parameters." ISRN Applied Mathematics 2013 (October 22, 2013): 1–12. http://dx.doi.org/10.1155/2013/340145.

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The dynamic behavior of a double Euler-Bernoulli beam system with uncertain parameters (fuzzy random variables) under a fuzzy stochastic excitation and axial compression is being considered. The beams are identical and parallel, one is above the other, and they are continuously coupled by a linear two-parameter (Pasternak subsoil) elastic element. This double Euler-Bernoulli beam system can be also treated as a theoretical model of a sandwich beam. The load process is fuzzy random both in space and time. The top beam carries a fuzzy stochastic load. The solution of the problem was found thanks to the fuzzy random dynamic influence function. The aim of the paper is to find the solution for the membership function of the probabilistic characteristics of the response of the structure.
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Ghorbanpourarani, A., M. Mohammadimehr, A. Arefmanesh, and A. Ghasemi. "Transverse vibration of short carbon nanotubes using cylindrical shell and beam models." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 224, no. 3 (2009): 745–56. http://dx.doi.org/10.1243/09544062jmes1659.

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The transverse vibrations of single- and double-walled carbon nanotubes are investigated under axial load by applying the Euler—Bernoulli and Timoshenko beam models and the Donnell shell model. It is concluded that the Euler—Bernoulli beam model and the Donnell shell model predictions have the lowest and highest accuracies, respectively. In order to predict the vibration behaviour of the carbon nanotube more accurately, the current classical models are modified using the non-local theory. The natural frequencies, amplitude coefficient, critical axial load, and strain are obtained for the simply supported boundary conditions.
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Yoon, Han-Ik, In-Soo Son, and Sung-Jin Ahn. "Free vibration analysis of Euler-Bernoulli beam with double cracks." Journal of Mechanical Science and Technology 21, no. 3 (2007): 476–85. http://dx.doi.org/10.1007/bf02916309.

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Shahba, Ahmad, Reza Attarnejad, and Shahin Hajilar. "Free Vibration and Stability of Axially Functionally Graded Tapered Euler-Bernoulli Beams." Shock and Vibration 18, no. 5 (2011): 683–96. http://dx.doi.org/10.1155/2011/591716.

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Structural analysis of axially functionally graded tapered Euler-Bernoulli beams is studied using finite element method. A beam element is proposed which takes advantage of the shape functions of homogeneous uniform beam elements. The effects of varying cross-sectional dimensions and mechanical properties of the functionally graded material are included in the evaluation of structural matrices. This method could be used for beam elements with any distributions of mass density and modulus of elasticity with arbitrarily varying cross-sectional area. Assuming polynomial distributions of modulus of elasticity and mass density, the competency of the element is examined in stability analysis, free longitudinal vibration and free transverse vibration of double tapered beams with different boundary conditions and the convergence rate of the element is then investigated.
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Koziol, Piotr, and Rafał Pilecki. "Dynamic response of double-beam system with nonlinear viscoelastic layer to moving load." MATEC Web of Conferences 211 (2018): 11008. http://dx.doi.org/10.1051/matecconf/201821111008.

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In previous papers, the problem of double-beam system resting on viscoelastic foundation was solved with the assumption of nonlinear foundation stiffness. This multilayer model finds application in railway modelling, where rails are represented by the infinite Euler-Bernoulli beams and sleepers are modelled as a rigid body. In this paper, another assumption is made. The layer connecting two Euler-Bernoulli beams has nonlinear stiffness. This assumption is related to laboratory tests of fastening systems. These tests show that the stiffness of fasteners and rail pads is nonlinear and this factor should be taken into account in detailed analysis of dynamic features. Therefore inclusion of nonlinearity in double-beam system is justified. The physical model presented in this paper consists of two infinitely long beams connected by viscoelastic layer with nonlinear stiffness and resting on viscoelastic foundation. The mathematical model is described by two coupled fourth order partial differential equations of motion with homogeneous boundary conditions. The system is solved by using the Fourier transform and Adomian’s decomposition, combined with the wavelet based approximation of the response using Coiflet filters. The error index for Adomian series is proposed and the approximate solution for vertical vibrations is shown along with computational examples for some systems of parameters.
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Abbaszadeh Bidokhti, Ali, Amir Reza Shahani, and Mohammad Reza Amini Fasakhodi. "Displacement-controlled crack growth in double cantilever beam specimen: A comparative study of different models." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 231, no. 15 (2016): 2835–47. http://dx.doi.org/10.1177/0954406216642474.

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This paper presents, discusses, and compares different techniques to model fracture initiation and static crack growth in double cantilever beam specimen under displacement-controlled loading. Energy release rate, critical displacement for the onset of crack growth, and critical load were determined by analytical solution, standard, and extended finite element method. The crack growth was also examined, and the advantages of each method were described as well. In addition, the compliance technique was used in the analytical method. In this regard, the crack growth relations were formulated based on four models including simple Euler–Bernoulli model, Euler–Bernoulli on the elastic foundation, simple Timoshenko beam, and the beam on the elastic foundation considering shear effects. Closed-form relations were extracted for the fracture parameters. Afterward, the Abaqus software was utilized to simulate the crack growth by the standard finite element method. Since the extended finite element has the ability to model the discontinuities inside the elements, the problem was also simulated by this method. Cohesive fracture of double cantilever beam specimen was performed using a closed-form solution and using a finite element model. Results of different modeling techniques were determined and compared.
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Arani, A. Ghorbanpour, R. Kolahchi, and M. Hashemian. "Nonlocal surface piezoelasticity theory for dynamic stability of double-walled boron nitride nanotube conveying viscose fluid based on different theories." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 228, no. 17 (2014): 3258–80. http://dx.doi.org/10.1177/0954406214527270.

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Based on nonlocal piezoelasticity theory, dynamic stability of double-walled boron nitride nanotubes (DWBNNTs) conveying viscose fluid is studied by incorporating Euler–Bernoulli beam theory, Timoshenko beam theory, and cylindrical shell theory. The surface stress effects are considered based on Gurtin–Murdoch continuum theory. The DWBNNT is embedded in visco-Pasternak medium and the nonlinear van der Waals forces between the inner and outer surface of the DWBNNT is taken into account. Using von Kármán geometric nonlinearity, the governing equations are derived based on Hamilton’s principle. In order to obtain the dynamic instability region of DWBNNT, incremental harmonic balance method is applied. The detailed parametric study is conducted, focusing on the combined effects of the nonlocality, surface stress, fluid velocity, and surrounding medium on the dynamic instability region of DWBNNT. Furthermore, dynamic instability region of Euler–Bernoulli beam theory, Timoshenko beam theory, and cylindrical shell theory are compared to each other. Numerical results indicate that neglecting the surface stress effects, the difference between dynamic instability region of three theories becomes remarkable.
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Cavacece, M., and L. Vita. "Optimal Cantilever Dynamic Vibration Absorbers by Timoshenko Beam Theory." Shock and Vibration 11, no. 3-4 (2004): 199–207. http://dx.doi.org/10.1155/2004/710924.

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A double-ended cantilever beam as a distributed parameter dynamic vibration absorber has been applied to a single-degree-of-freedom system subjected to harmonic forces.In this investigation, the beam has been analyzed under the well known model of Timoshenko and the computation of best parameters is based on the Chebyshev’s optimality criterion.This is somewhat novel in the field since:The design of cantilever beams as dynamic vibration absorbers is usually made under the hypotheses of the Euler-Bernoulli theory;It is the first time that the Chebyshev’s criterion is applied to the design of a double-ended cantilever beam used as a dynamic vibration absorber.For a ready use of the results herein presented, design charts allow a quick choice of optimal parameters such as tuning ratio and mass ratio.
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ZHANG, Hougui, Ruixiang SONG, Jie YANG, Dan WU, and Yingjie WANG. "Connection Damage Detection of Double Beam System under Moving Load with Genetic Algorithm." Mechanics 27, no. 1 (2021): 80–87. http://dx.doi.org/10.5755/j02.mech.25500.

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In this paper, a novel damage detection approach for the spring connection of the double beam system using the dynamic response of the beam and genetic algorithm is presented. The double beam system is regarded as both Bernoulli-Euler beams with simply supported ends, the upper and lower beams are connected by a series of linear springs with certain intervals. With the genetic algorithm, the dynamic acceleration response of double beam system under moving load, which can be solved by the Newmark-β integration procedure, is used as the input data to detect the connection damage. Thus the dynamic response of the double beam system with a certain damage pattern can be calculated employing the moving load model. If the calculated result is quite close to the recorded response of the damaged bridge, this damage pattern will be the solution. The connection damage detection process of the proposed approach is presented herein, and its feasibility is studied from the numerical investigation with simple and multiple damages detection. It is concluded that the sophisticated damage conditions need much longer time to detect successfully.
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Dissertations / Theses on the topic "Euler-Bernoulli Double Beam"

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Seibel, Aline Brum. "USO DA BASE DINÂMICA EM UM SISTEMA DE DUAS VIGAS ACOPLADAS." Universidade Federal de Santa Maria, 2013. http://repositorio.ufsm.br/handle/1/9986.

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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior<br>This work researches on free and forced vibrations of a double beam coupled system. The system is regarded as two Euler-Bernoulli beams which are parallel, have the same length, are simply supported and are connected through a viscoelastic layer. Natural frequencies and their mode shapes, also called eigenfunctions, of the coupled system are obtained through a uniform beam methodology which uses the free dynamical basis to represent the solution of the the modal equation. This study uses modal analysis and block matrix formulation, while the dynamical basis used to represent the modal solution is obtained from the dynamical solution of a fourth order differential equation whose coefficients are just those of the original problem. The natural frequencies and mode shapes of the undamped system are determined for several values of beam parameters. For the damped case, damping ratios of each beam and also of the viscoelastic layer (which characterizes the coupling the system) are considered. The forced response is represented using matrix impulse response, which is the solution of an initial value problem with impulsive initial conditions.<br>Neste trabalho é realizado um estudo sobre vibrações livres e forçadas de um sistema de dupla viga acoplado. O sistema é composto por duas vigas do tipo Euler-Bernoulli, paralelas, de mesmo comprimento, simplesmente apoiadas e conectadas por uma camada viscoelástica. São obtidas as frequências naturais e os modos de vibração ou autofunções do sistema acoplado utilizando uma metodologia para vigas uniformes, que usa a base dinâmica para escrever a solução da equação modal. O estudo é realizado através da análise modal e de uma formulação matricial em blocos, e a base dinâmica usada para escrever a solução da equação modal é gerada pela solução dinâmica de uma equação diferencial de quarta ordem cujos coeficientes são os mesmos do problema considerado. As frequências naturais e os modos de vibração para o sistema não amortecido são determinados para vários valores dos parâmetros da viga. Para o caso amortecido, consideramos o amortecimento individual em cada viga e o amortecimento que compõe a camada viscoelástica o qual caracteriza o acoplamento no sistema. A resposta forçada do sistema é escrita em função da resposta impulso matricial que é solução de um problema de valor inicial com condições iniciais impulsivas.
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Chou, Li-Kuo, and 周立國. "Dynamic Analysis of Rotating Double-Tapered Bernoulli-Euler Beam." Thesis, 2009. http://ndltd.ncl.edu.tw/handle/96510169574705913866.

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碩士<br>南台科技大學<br>機械工程系<br>97<br>In this study, the free vibration problem of a rotating double-tapered Bernoulli-Euler beam with a setting angle and an inclination angle is investigated. Utilizing the Hamiltion’s principle derives governing differential equations and the associated boundary conditions of rotating beam system. There exist the exciting force terms in the two governing questions due to the centrifugal force, the solution of the beam system are regarded as the superposition of a static subsystem and a dynamic subsystem. The exciting force has no influence on the natural frequency, Only the dynamic subsystem is considered in this research. Then, the governing differential equations are transformed into state equation, and the solution is obtained by using transition matrix method. The important parameters including rotating speed, radius of hub, inclination angle, setting angle and taper ratio both along width and thick directions are taken into account to evaluate the influence on the natural frequency of the beam system.
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Conference papers on the topic "Euler-Bernoulli Double Beam"

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Kuo, Y. L., and W. L. Cleghorn. "Curvature-Based Finite Element Method for Euler-Bernoulli Beams." In ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/detc2007-34213.

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This paper presents a new method called the curvature-based finite element method to solve Euler-Bernoulli beam problems. An approximated curvature distribution is selected first, and then the approximated transverse displacement is determined by double integrations. Four numerical examples demonstrate the validity of the method, and the results show that the errors are smaller than those generated by a conventional method, the displacement-based finite element method, for comparison based on the same number of degrees of freedom.
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O’Donnell, John, Anahita Zargarani, and S. Nima Mahmoodi. "Torsional Tip Motion of Double Beam Atomic Force Microscopy." In ASME 2018 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/detc2018-85411.

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This paper investigates the vibration of a coupled microcantilever beam structure, in which a rigid body at their free end connects the two beams. The coupled beams are under equal and out-of-phase forces applied by piezoelectric films, which result in overall torsional motion. The equations describing the motion of the structure as well as the boundary conditions are developed using the Hamilton principle under the assumption of the structure being an Euler-Bernoulli beam. Two equations for each beam are realized: bending and torsional equations, which are combined in one torsional equation. The equation is solved using Galerkin approximation. The effects of dimensional parameters and input parameters are investigated including height, width, thickness, beam arrangement, applied voltage, input frequency, and mass of the tip. Geometry and mass were found to have significant effects on the angle, while input voltage was found to have a small linear effect. The overall sweeping motion was found to have an angle well below one degree in general. This shows that while the piezoelectric actuators can generate torsional sweeping, the effect is at a small angle that depends more on design than actuation force.
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Chondros, Thomas G., Andrew D. Dimarogonas, and Jonathan Yao. "Lateral Vibration of a Consistent Continuous Beam With a Crack." In ASME 1997 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/detc97/vib-4180.

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Abstract A continuous cracked beam vibration theory is developed for the lateral vibration of cracked Euler-Bernoulli beams with single-edge or double-edge cracks. The Hu-Washizu-Barr variational formulation was used to develop the differential equation and the boundary conditions of the cracked beam as an one-dimensional continuum. The displacement field about the crack was used to modify the stress and displacement field throughout the bar. The crack was modelled as a continuous flexibility using the displacement field in the vicinity of the crack, found with fracture mechanics methods. The results of three independent evaluations of the lowest natural frequency of lateral vibrations for beams with a single-edge crack are presented: the continuous cracked beam vibration theory developed here, the lumped crack beam vibration analysis, and an asymptotic solution. Experimental results from aluminum beams with fatigue cracks are very close to the values predicted. A steel beam with a double-edge crack was also investigated with the above mentioned methods, and results compared well with experimental data.
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Kameswara Rao, C., and M. Radhakrishna. "Transverse Vibrations of Double Bellows Expansion Joint Restrained Against Rotation." In 10th International Conference on Nuclear Engineering. ASMEDC, 2002. http://dx.doi.org/10.1115/icone10-22092.

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The paper presents the results of investigation of transverse vibrations of double bellows expansion joint restrained against rotation on either end. A theoretical model is developed based on the Bernoulli-Euler beam theory and includes added mass of the fluid flowing inside the pipe-bellow-pipe assembly. Neglecting effect of shear, an exact frequency equation is derived for the transverse vibrations of double bellows expansion joint including the effects of end elastic restraints against rotation. Numerical results are presented for an example bellow showing the effects of variation of elastic restraints and internal pressure on the first two modes of vibration.
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Hasan, Mohammad H., Hassen M. Ouakad, Nizar R. Jaber, Md Abdullah Al Hafiz, Fadi Alsaleem, and Mohammad Younis. "An Experimental and Theoretical Investigation of Double Resonance Activation in Electrostatic MEMS Resonators." In ASME 2018 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/detc2018-85887.

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Electrostatic micro-electro-mechanical-system (MEMS) devices show great potential in a variety of applications such as sensing and actuation; however, they are hindered by their high input voltage requirement. Double resonance excitation, which activates the system’s mechanical and electrical resonances simultaneously, was recently demonstrated experimentally to alleviate this problem. In this work, we present a mathematical model, based on the Euler Bernoulli beam model coupled with a circuit model, to simulate double resonance in MEMS devices and to shed light more onto the previously published experimental data. We show good agreement between the theoretical simulation and experimental data when the electrical resonance frequency band is sufficiently high.
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Juarez, Ezequiel, Dumitru I. Caruntu, and Young-Gil Park. "Voltage Response of Parametric Resonance of Double Wall Carbon Nanotube Under Electrostatic Actuation." In ASME 2017 Dynamic Systems and Control Conference. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/dscc2017-5120.

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In this paper, the Method of Multiple Scales is used to investigate the influences of damping and detuning frequency parameters on the amplitude-voltage response of an electrostatically actuated double-walled carbon nanotube. The forces responsible for the nonlinearities in the vibrational behavior are intertube van der Waals and electrostatic forces. Herein, the coaxial case is investigated, which eliminates the influence of the cubic van der Waals in the first-order solution. The double-walled carbon nanotube structure is modelled as a cantilever beam with Euler-Bernoulli beam assumptions since the double-walled carbon nanotube is characterized with high length-diameter ratio. The results shown assume steady-state solutions in the first-order Method of Multiple Scales solution. The importance of the results in this paper are the effect of damping and detuning frequency on the Hopf bifurcations, as these define the intervals of voltage for nonzero amplitudes.
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Knudsen, Jakob, and Ali R. Massih. "Nonlinear Dynamics of a Loosely Supported Beam Subject to Harmonic Excitation." In ASME 2002 International Mechanical Engineering Congress and Exposition. ASMEDC, 2002. http://dx.doi.org/10.1115/imece2002-32518.

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The nonlinear dynamic behavior of damped beam oscillator with elastic two-sided amplitude constraints is analyzed. The structure is modeled by a Bernoulli-Euler beam supported by elastic springs. Finite element method is used for discretization in space and time integration is performed by Newmark’s method. Rayleigh damping is assumed for the structure. Symmetric and elastic double-impact motions, both harmonic and subharmonic, are studied by way of a Poincare´ mapping that relates the states at subsequent impacts. We have found that by increasing the forcing frequency (ω) for the beam at a certain frequency a stable period one motion (solution) turns into a stable period two motion and subsequently without bifurcation it transits to an infinite number of solutions characteristic of chaotic behavior. By further increasing ω a series of windows in the bifurcation diagram (impact velocity vs. ω) comprising periodic solutions within the chaotic domain appear.
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Caruntu, Dumitru I., and Ezequiel Juarez. "Frequency Response of Parametric Resonance of Double Wall Carbon Nanotube Under Electrostatic Actuation for Noncoaxial Vibration." In ASME 2017 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/imece2017-70649.

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In this paper, the Method of Multiple Scales is used to investigate the influences of dimensionless damping and voltage parameters on the amplitude-frequency response of an electrostatically actuated double-walled carbon nanotube. The forces responsible for the nonlinearities in the vibrational behavior are intertube van der Waals and electrostatic forces. Soft AC excitation and small viscous damping forces are assumed. Herein, the noncoaxial case is investigated at near-zero amplitude conditions in the free vibration, which eliminates the influence of the cubic van der Waals in the first-order solution. The DWCNT structure is modelled as a cantilever beam with Euler-Bernoulli beam assumptions since the DWCNT is characterized with high length-diameter ratio. The results shown assume steady-state solutions in the first-order MMS solution. The importance of the results in this paper are the effect of damping and detuning frequency on the stability of the DWCNT vibration.
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Liu, Pengbo, and Peng Yan. "Modeling and Analysis of Beam Flexure Based Double Parallel Guiding Mechanisms: A Modified Pseudo-Rigid-Body Approach." In ASME 2016 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/detc2016-59897.

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In the present paper, we take the complaint double parallel guiding mechanism as a particular case study to investigate a modified pseudo-rigid-body (MPRB) modeling approach for beam flexure based mechanisms by considering the nonlinear effects of the center-shift and the load-stiffening. In particular, through incorporating the elastic stretch of the beam flexure into the linear Bernoulli-Euler equation, a more accurate model of the beam flexure is derived. Accordingly an MPRB model for a beam flexure is established, which consists of two rigid links joined at a revolute joint and a torsional spring along the beam. Different from traditional PRB model, the location of the torsion spring is not only determined by the characteristic radius factor, but also a purely elastic stretch under the action of the axial force. Meanwhile, both the characteristic radius factor and the equivalent stiffness of the beam flexure are no longer constant values, but affected by the applied general tip load, especially the axial force. Based on the analysis results of a beam flexure, we obtain a more accurate model of the double parallel guiding mechanisms, which is further verified by the finite element analysis (FEA) results. The proposed MPRB model provides a more parametric method to predict the performance characteristics such as deformation capability, stiffness variation, as well as error motions of the beam flexure based complaint mechanisms, and offers a new look into the design and optimization of beam-based compliant mechanisms.
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Liu, Haizhou, and Hao Gao. "Vibration Suppression of an Elastically Supported Beam With Closely Spaced Natural Frequencies." In ASME 2020 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/imece2020-23671.

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Abstract Vibration suppression of distributed parameter systems is of great interest and has a wide range of applications. The dynamic performance of a primary system can be improved by adding dynamic vibration absorbers (DVA). Although the relevant topics have been studied for decades, the trade-off between capability of suppressing multiple resonant peaks and complexity of absorbers has not been well addressed. In this paper, the vibration suppression problem of a uniform Euler-Bernoulli beam with closely spaced natural frequencies is investigated. To achieve desired vibration reduction, a two-DOF DVA is connected to the beam through a pair of a spring and a dashpot. By introducing a virtual ground spring, the parameters of the absorber are determined via extended fixed point theory. The proposed method only requires univariate optimization and is computationally efficient. Numerical examples conducted verify the viability of the proposed method and the effectiveness of a two-DOF DVA in suppressing double resonances.
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