Equations Of Motion
Mostrando 13-24 de 189 artigos, teses e dissertações.
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13. Dynamic Response of Orthotropic Membrane Structure under Impact Load based on Multiple Scale Perturbation Method
Abstract This paper investigates the dynamic response of rectangular prestressed membrane subjected to concentrated impact load based on multiple scale perturbation method. The governing equations of motion of nonlinear vibration are derived based on the Föppl large deflection theory and Galerkin method. By introducing different time scales to consider the
Lat. Am. j. solids struct.. Publicado em: 2017-08
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14. Free Vibration Analysis of Reinforced Composite Functionally Graded Plates with Steady State Thermal Conditions
Abstract The present paper deals with free vibration of functionally graded fiber reinforced rectangular plates subjected to thermal loads. The rectangular plates are assumed orthotropic. The continuous grading fiber reinforced plates have a smooth variation in matrix volume fraction in the thickness direction. Two different types of volume fraction profiles
Lat. Am. j. solids struct.. Publicado em: 2017-06
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15. Leonhard Euler's “principle of mechanics” (an essay on the foundations of the equations of motion)
Leonhard Euler derived equations of motion for both (in modern terminology) point mass mechanics and analytic mechanics. In order to derive the equations, some dynamic premise has to be introduced; this is the “principle of mechanics”. It stems from the recognition that infinitesimal motions are uniformly accelerated. Then, using Galileo Galilei's theore
Rev. Bras. Ensino Fís.. Publicado em: 22/05/2017
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16. Nonlinear Vibration and Mode Shapes of FG Cylindrical Shells
Abstract The nonlinear vibration and normal mode shapes of FG cylindrical shells are investigated using an efficient analytical method. The equations of motion of the shell are based on the Donnell’s non-linear shallow-shell, and the material is assumed to be gradually changed across the thickness according to the simple power law. The solution is provided
Lat. Am. j. solids struct.. Publicado em: 2017-03
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17. Mechanics of Cable-Suspended Beams
Abstract The cable-suspended bridges differ from the elastic structures because of the inherent nonlinearity of the suspension cables. The primary focus of the available theories is to investigate the effect of nonlinearities associated with the distributed self-weight of the cable and its finite elastic displacements. The main point of departure of this pap
Lat. Am. j. solids struct.. Publicado em: 2017-03
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18. Campbell Diagrams of a Spinning Composite Shaft with Curvilinear Fibers
Abstract This paper presents the vibratory behavior of a spinning composite shaft with curvilinear fibers on rigid bearings in the case of free vibrations. A p-version of finite element is used to define the model. A theoretical study allows the establishment of the kinetic energy and the strain energy of the shaft, necessary to the result of the equations o
Lat. Am. j. solids struct.. Publicado em: 2017-03
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19. Time Domain Modeling and Simulation of Nonlinear Slender Viscoelastic Beams Associating Cosserat Theory and a Fractional Derivative Model
Abstract A broad class of engineering systems can be satisfactory modeled under the assumptions of small deformations and linear material properties. However, many mechanical systems used in modern applications, like structural elements typical of aerospace and petroleum industries, have been characterized by increased slenderness and high static and dynamic
Lat. Am. j. solids struct.. Publicado em: 2017-01
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20. Vibration Analysis of Rotating Functionally Graded Cylindrical Shells with Orthogonal Stiffeners
Abstract In this paper, free vibration analysis of rotating functionally graded cylindrical shells with orthogonal stiffeners is presented. Based on Love's first approximation theory and smeared stiffeners technique, the governing equations of motion which take into account the effects of initial hoop tension and also the centrifugal and Coriolis forces due
Lat. Am. j. solids struct.. Publicado em: 2016-12
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21. Three-Dimensional Rail-Bridge Coupling Element of Unequal Lengths for Analyzing Train-Track-Bridge Interaction System
Abstract A three-dimensional rail-bridge coupling element of unequal lengths in which the length of the rail element is shorter than that of the bridge element is presented in this paper to investigate the spatial dynamic responses of a train-track-bridge interaction system. Formulation of stiffness and damping matrices for the fastener, ballast, and bearing
Lat. Am. j. solids struct.. Publicado em: 2016-12
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22. Free and Forced Vibration Analysis of Stepped Circular Cylindrical Shells with Several Intermediate Supports Using an Extended Wave Method; a Generalized Approach
Abstract A combination of vectorial form of wave method (VWM) with Fourier expansion series is proposed as a new vehicle for free and forced vibration analysis of stepped cylindrical shells with multiple intermediate flexible supports. The flexible supports can include springs with arbitrary properties in the possible directions. Based on Flügge thin shell
Lat. Am. j. solids struct.. Publicado em: 2016-11
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23. Study Neo-Hookean and Yeoh Hyper-Elastic Models in Dielectric Elastomer-Based Micro-Beam Resonators
Abstract Micro-bridge resonator with dielectric elastomer that is sandwiched between two electrodes is studied here with geometric and material nonlinearity. Geometric nonlinearity is introduced with Von-Karman strain-displacement relationship. For material nonlinearity that is modeled rarely in articles, two hyper-elastic models are used here. Governing equ
Lat. Am. j. solids struct.. Publicado em: 2016-10
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24. Nonlinear Dynamic Analysis of Telescopic Mechanism for Truss Structure Bridge Inspection Vehicle Under Pedestrian Excitation
Abstract Nonlinear dynamic analysis of an axially moving telescopic mechanism for truss structure bridge inspection vehicle under pedestrian excitation is carried out. A biomechanically inspired inverted-pendulum model is utilized to simplify the pedestrian. The nonlinear equations of motion for the beam-pedestrian system are derived using the Hamilton's pri
Lat. Am. j. solids struct.. Publicado em: 2016-06