Relevant bibliographies by topics / Clamped plate vibration

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters
  4. Conference papers

Academic literature on the topic 'Clamped plate vibration'

Author: Grafiati
Published: 4 June 2021
Last updated: 17 February 2022

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Journal articles on the topic "Clamped plate vibration"

1

Lal, Roshan, and Renu Saini. "Mode shapes and frequencies of thin rectangular plates with arbitrarily varying non-homogeneity along two concurrent edges." Journal of Vibration and Control 23, no. 17 (January 22, 2016): 2841–65. http://dx.doi.org/10.1177/1077546315623710.

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Analysis and numerical results are presented for free transverse vibrations of isotropic rectangular plates having arbitrarily varying non-homogeneity with the in-plane coordinates along the two concurrent edges on the basis of Kirchhoff plate theory. For the non-homogeneity, a general type of variation for Young’s modulus and density of the plate material has been assumed. Generalized differential quadrature method has been used to obtain the eigenvalue problem for such model of plates for four different combinations of boundary conditions at the edges namely, (i) fully clamped, (ii) two opposite edges are clamped and other two are simply supported, (iii) two opposite edges are clamped and other two are free, and (iv) two opposite edges are simply supported and other two are free. By solving these eigenvalue problems using software MATLAB, the lowest three eigenvalues have been reported as the first three natural frequencies for the first three modes of vibration. The effect of various plate parameters on the vibration characteristics has been analysed. Three dimensional mode shapes have been plotted. A comparison of results with those available in literature has been presented.
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Eisenberger, Moshe, and Aharon Deutsch. "Static Analysis for Exact Vibration Analysis of Clamped Plates." International Journal of Structural Stability and Dynamics 15, no. 08 (October 29, 2015): 1540030. http://dx.doi.org/10.1142/s0219455415400301.

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Presented herein is a new method for the analysis of plates with clamped edges. The solutions for the natural frequencies of the plates are found using static analysis. The starting are the equations of motion of an isotropic rectangular plate supported on Winkler elastic foundation, with a positive or negative value. In either case, one can solve the displacements of such a plate under a given concentrated load. This deflection will be infinite if the plate losses its stiffness, or in other words, the generalized foundation is causing the plate to be unstable. The solution for the vibration frequencies of the plate is equivalent to finding the values of the negative elastic foundation that will yield infinite deflection under a point load on the plate. The solution for a clamped plate is decomposed as the sum of three cases of plates resting on elastic foundation: simply supported plate with a concentrated load, and two cases of distributed moments along opposite edges. The solution for simply supported plates with elastic foundation is found using Navier's method. For zero force, the vibration frequencies are found up to the desired accuracy by careful calculations at the neighborhood of the roots.
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Tseng, J. G., and J. A. Wickert. "Vibration of an Eccentrically Clamped Annular Plate." Journal of Vibration and Acoustics 116, no. 2 (April 1, 1994): 155–60. http://dx.doi.org/10.1115/1.2930406.

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Small amplitude vibration of an eccentric annular plate, which is free along its outer edge and clamped along the interior, is investigated through experimental and analytical methods. A disk with this geometry, or a stacked array in which the clamping and symmetry axes of each disk are nominally coincident, is common in data storage and brake systems applications. In the present case, the geometric imperfections on the boundary can have important implications for the disk’s dynamic response. Changes that occur in the natural frequency spectrum, the mode shapes, and the free response under eccentric mounting are studied through laboratory measurements and an approximate discrete model of the plate. The natural frequencies and modes are found through global discretization of the Kamke quotient for a classical thin plate. For the axisymmetric geometry, the natural frequencies of the “sine” and “cosine” vibration modes for a specified number of nodal diameters are repeated. With increasing eccentricity, on the other hand, each pair of repeated frequencies splits at a rate that depends on the number of nodal diameters. Over a range of clamping and eccentricity ratios, the model’s predictions are compared to the measured results.
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Liew, K. M. "Vibration of Clamped Circular Symmetric Laminates." Journal of Vibration and Acoustics 116, no. 2 (April 1, 1994): 141–45. http://dx.doi.org/10.1115/1.2930404.

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Treated in this paper is the free-flexural vibration analysis of symmetrically laminated thin circular plates. The total energy functional for the laminated plates is formulated where the pb-2 Ritz method is applied for the solution. The assumed displacement is defined as the product of (1) a two-dimensional complete polynomial function and (2) a basic boundary function. The simplicity and accuracy of the numerical procedure will be demonstrated by solving some plate examples. In the present study, the effects of material properties, number of layers and fiber stacking sequences upon the vibration frequency parameters are investigated. Selected mode shapes by means of contour plots for several 16-ply laminated plates with different fiber stacking sequences and composite materials are presented. This study may provide valuable information for researchers and engineers in design applications. In addition, the present solution plays an important role in increasing the existing data base for future references.
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MARETIC, RATKO, and VALENTIN GLAVARDANOV. "VIBRATION OF CIRCULAR PLATE WITH AN INTERNAL ELASTIC RING SUPPORT UNDER EXTERIOR EDGE PRESSURE." International Journal of Structural Stability and Dynamics 14, no. 01 (December 17, 2013): 1350053. http://dx.doi.org/10.1142/s0219455413500533.

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In this paper, we analyze the transverse vibration of a circular plate loaded by uniform pressure along its edge. The plate is supported by an elastic ring support being coaxial with the plate. At its edge the plate is clamped but the radial displacement is allowed. Apart from this problem, the heated plate clamped at its edge, but without the possibility of radial displacement, is also analyzed. The analytical solution of governing equation is obtained in the form of Bessel's functions. Using the analytical solution, the frequencies of transverse vibrations depending on loads, elastic ring stiffness and the location of ring are obtained. The results show that the lowest frequencies vibrations can be either symmetric or asymmetric having one or two nodal diameters. It is also shown that multiple vibration frequencies can occur for special values of load and ring stiffness.
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Tu, Jian Xin, Zhi Ren Wang, Han Zhu, and Ping Wang. "The Nonlinear Random Vibration of a Clamped Rectangular Thin Plate in Magnetic Field." Applied Mechanics and Materials 628 (September 2014): 127–32. http://dx.doi.org/10.4028/www.scientific.net/amm.628.127.

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In this paper, the magneto-elastic nonlinear random vibration of a clamped rectangular thin plate in magnetic field is studied. According to the magneto-elastic theory of plates and shells and the theory of structural random vibration, the magneto-elastic nonlinear random vibration equation of a clamped rectangular thin plate in a magnetic field is derived. Then the nonlinear random vibration equation is transferred into the Ito differential equation, and the Ito differential equation is solved using FPK equation method. Thus the numerical characteristics of displacement response and velocity response of the rectangular thin plate are obtained. Finally, through a numerical example, the influences of magnetic field parameters on the numerical characteristics are discussed, and some methods which can be used to effectively control the random vibration responses of the plate are given.
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Shi, Jian Wei, Akihiro Nakatani, and Hiroshi Kitagawa. "Vibration analysis of fully clamped arbitrarily laminated plate." Composite Structures 63, no. 1 (January 2004): 115–22. http://dx.doi.org/10.1016/s0263-8223(03)00138-7.

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Grover, D. "Damping in thin circular viscothermoelastic plate resonators." Canadian Journal of Physics 93, no. 12 (December 2015): 1597–605. http://dx.doi.org/10.1139/cjp-2014-0575.

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The governing equations of transverse motion and heat conduction of a homogenous, isotropic, thermally conducting, Kelvin–Voigt-type medium, based on Kirchhoff–Love plate theory, are established for out-of-plane vibrations of a generalized viscothermoelastic circular thin plate. The analytical expressions for thermoelastic damping of vibration and frequency shift are obtained for generalized and coupled viscothermoelastic plates. It is noticed that the damping of vibrations significantly depends on mechanical relaxation times and thermal relaxation time in addition to thermomechanical coupling in a circular plate under resonance conditions. The surface conditions also impose significant effects on the vibrations of such resonators. The numerical results may also be illustrated in the case of a circular plate and an axisymmetric circular plate for clamped and simply supported boundary conditions for fixed aspect ratio, fixed radius, and fixed thickness, respectively.
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Hosokawa, K., Y. Yamada, and T. Sakata. "Free-Vibration Analysis of Clamped Antisymmetrically Laminated Elliptical Plates." Journal of Applied Mechanics 65, no. 2 (June 1, 1998): 341–45. http://dx.doi.org/10.1115/1.2789060.

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In a previous paper, a numerical approach for analyzing the free vibration problem of an unsymmetrically laminated fiber-reinforced plastic composite plate was proposed by the authors. In the present paper, this approach is applied to the clamped antisymmetrically laminated elliptical plate. As numerical examples, the natural frequencies and the mode shapes of the circular and elliptical plates are estimated. The effects of the fiber orientation angle on natural frequency and mode shape are studied. Furthermore, the vibration tests of the clamped antisymmetrically laminated circular and elliptical plates made of carbon fiber-reinforced plastic are carried out, and the experimental natural frequency and mode shape are compared with the numerical results.
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Wu, Jiu Hui, A. Q. Liu, and H. L. Chen. "Exact Solutions for Free-Vibration Analysis of Rectangular Plates Using Bessel Functions." Journal of Applied Mechanics 74, no. 6 (April 23, 2005): 1247–51. http://dx.doi.org/10.1115/1.2744043.

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A novel Bessel function method is proposed to obtain the exact solutions for the free-vibration analysis of rectangular thin plates with three edge conditions: (i) fully simply supported; (ii) fully clamped, and (iii) two opposite edges simply supported and the other two edges clamped. Because Bessel functions satisfy the biharmonic differential equation of solid thin plate, the basic idea of the method is to superpose different Bessel functions to satisfy the edge conditions such that the governing differential equation and the boundary conditions of the thin plate are exactly satisfied. It is shown that the proposed method provides simple, direct, and highly accurate solutions for this family of problems. Examples are demonstrated by calculating the natural frequencies and the vibration modes for a square plate with all edges simply supported and clamped.
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Dissertations / Theses on the topic "Clamped plate vibration"

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McHale, Kimberley Paige Perry. "Inequalities for vibration and buckling of a clamped plate /." free to MU campus, to others for purchase, 1997. http://wwwlib.umi.com/cr/mo/fullcit?p9842551.

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Johnson, William Richard. "Active Structural Acoustic Control of Clamped and Ribbed Plates." BYU ScholarsArchive, 2013. https://scholarsarchive.byu.edu/etd/4011.

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A control metric, the weighted sum of spatial gradients (WSSG), has been developed for use in active structural acoustic control (ASAC). Previous development of WSSG [1] showed that it was an effective control metric on simply supported plates, while being simpler to measure than other control metrics, such as volume velocity. The purpose of the current work is to demonstrate that the previous research can be generalized to plates with a wider variety of boundary conditions and on less ideal plates. Two classes of plates have been considered: clamped flat plates, and ribbed plates. On clamped flat plates an analytical model has been developed for use in WSSG that assumes the mode shapes are the product of clamped-clamped beam mode shapes. The boundary condition specific weights for use in WSSG have been derived from this formulation and provide a relatively uniform measurement field, as in the case of the simply supported plate. Using this control metric, control of radiated sound power has been simulated. The results show that WSSG provides comparable control to volume velocity on the clamped plate. Results also show, through random placement of the sensors on the plate, that similar control can be achieved regardless of sensor location. This demonstrates that WSSG is an effective control metric on a variety of boundary conditions. Ribbed plates were considered because of their wide use in aircraft and ships. In this case, a finite-element model of the plate has been used to obtain the displacement field on the plate under a variety of boundary conditions. Due to the discretized model involved, a numerical, as opposed to analytical, formulation for WSSG has been developed. Simulations using this model show that ASAC can be performed effectively on ribbed plates. In particular WSSG was found to perform comparable to or better than volume velocity on all boundary conditions examined. The sensor insensitivity property was found to hold within each section (divided by the ribs) of the plate, a slightly modified form of the flat plate insensitivity property where the plates have been shown to be relatively insensitive to sensor location over the entire surface of the plate. Improved control at natural frequencies can be achieved by applying a second control force. This confirms that ASAC is a viable option for the control of radiated sound power on non-ideal physical systems similar to ribbed plates.
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Mochida, Yusuke. "Bounded Eigenvalues of Fully Clamped and Completely Free Rectangular Plates." The University of Waikato, 2007. http://hdl.handle.net/10289/2508.

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Exact solution to the vibration of rectangular plates is available only for plates with two opposite edges subject to simply supported conditions. Otherwise, they are analysed by using approximate methods. There are several approximate methods to conduct a vibration analysis, such as the Rayleigh-Ritz method, the Finite Element Method, the Finite Difference Method, and the Superposition Method. The Rayleigh-Ritz method and the finite element method give upper bound results for the natural frequencies of plates. However, there is a disadvantage in using this method in that the error due to discretisation cannot be calculated easily. Therefore, it would be good to find a suitable method that gives lower bound results for the natural frequencies to complement the results from the Rayleigh-Ritz method. The superposition method is also a convenient and efficient method but it gives lower bound solution only in some cases. Whether it gives upper bound or lower bound results for the natural frequencies depends on the boundary conditions. It is also known that the finite difference method always gives lower bound results. This thesis presents bounded eigenvalues, which are dimensionless form of natural frequencies, calculated using the superposition method and the finite difference method. All computations were done using the MATLAB software package. The convergence tests show that the superposition method gives a lower bound for the eigenvalues of fully clamped plates, and an upper bound for the completely free plates. It is also shown that the finite difference method gives a lower bound for the eigenvalues of completely free plates. Finally, the upper bounds and lower bounds for the eigenvalues of fully clamped and completely free plates are given.
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Hendricks, Daniel R. "An Experimental Analysis of the Weighted Sum of Spatial Gradients Minimization Quantity in Active Structural Acoustic Control of Vibrating Plates." BYU ScholarsArchive, 2013. https://scholarsarchive.byu.edu/etd/3827.

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Active Structural Acoustic Control (ASAC) is a subcategory of the more widely known field of Active Noise control (ANC). ASAC is different from traditional ANC methods because it seeks to attenuate noise by altering the noise producing structure instead of altering the acoustic waves traveling through the air. The greatest challenge currently facing ASAC researchers is that a suitable parameter has not yet been discovered which can be easily implemented as the minimization quantity in the control algorithms. Many parameters have been tried but none effectively attenuate the sound radiation in a way that can be easily implemented. A new parameter was recently developed which showed great potential for use as a minimization quantity. This parameter has been termed the "weighted sum of spatial gradients" (WSSG) and was shown by previous researchers to significantly reduce noise emissions from a vibrating simply supported plate in computer simulations. The computer simulations indicate that WSSG-based control provides as good or better control than volume velocity and does so with a single point measurement which is relatively insensitive to placement location. This thesis presents the experimental validation of the WSSG computer simulations. This validation consists of four major components. First, additional research was needed in to extend the use of WSSG from computer simulations to experimental setups. Second, the WSSG-based control method was performed on simply supported plates to validate the computer simulations. Third, the WSSG-based control method on was used on clamped plates to validate the computer simulations, and fourth, the WSSG-based control method was validated on plates with ribs. The important results are discussed and conclusions summarized for each of these sections. Recommendations are made for future work on the WSSG parameter.
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Fulford, Sarah Xochitl. "Analytical analysis of the free vibration of partially clamped cantilever plates." Thesis, University of Ottawa (Canada), 1994. http://hdl.handle.net/10393/6536.

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The method of superposition is used to analyze the free vibration of thin rectangular plates, partially clamped along one edge and free everywhere else. This study has been undertaken because of interest in the dynamic behaviour of electronic circuit boards which are sometimes given support of this nature. This problem is not known to have been studied before using an analytical type method. Eight building blocks are superimposed to obtain the final solution. Each building block is solved individually using the Levy-type solution. A detailed mathematical development of the solution is shown for each building block in dimensionless form. The natural frequencies and mode shapes for plates with varying aspect ratios and clamped lengths can be found using this method. Eigenvalues are shown to converge and tabulated values are given to at least three digit accuracy. Frequencies and mode shapes agree very well with experimentally found results and with results found using a commercially used finite element method software package.
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Yamine, Araar. "Application of Galerkin method in deflection, stability and vibration of rectangular clamped plates of variable thickness." Thesis, University of Ottawa (Canada), 1988. http://hdl.handle.net/10393/5263.

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Stangier, Stefanie D. "Theoretical and experimental investigation of the free vibration of parallelogram plates with simply supported and clamped boundary conditions." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1998. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp04/mq28462.pdf.

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Labaki, Wassim. "Computation of free vibration frequencies and mode shapes of cantilever plates with finite discontinuities in properties moving outward from the clamped edge." Thesis, University of Ottawa (Canada), 2001. http://hdl.handle.net/10393/8988.

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The study of rectangular cantilever plates with step discontinuities in properties is of interest in many areas of industry. Cantilever plates are assigned different properties to represent change in stiffness and mass creating therefore the concept of step discontinuities in properties. The step discontinuity in properties is best represented by dividing the cantilever plate into separate segments called spans, with each span having its own stiffness and/or mass distribution as one moves outwards from the clamped edge. This thesis presents the concept of dividing the cantilever plate into spans and provides accurate analytical solutions for free vibration frequencies and mode shapes. Chapter 1 introduces the reader to the theory of rectangular plates while chapter 2 concentrates on introducing the general solutions as applied to rectangular plates. Although there is no limit to the number of plate spans to be studied, three and four span cantilever plates were analysed in chapter 3. The computed eigenvalues are validated against previously published uniform rectangular cantilever plate free vibration results. They were found converging to the known values. Free vibration eigenvalues and mode shapes are then calculated for a variety of cantilever plates of different aspect ratios and with different span thicknesses creating a discontinuity in mass and flexural rigidity along the plate. The results are presented in chapter 4 and discussed in chapter 5.
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Lu, Hung-yu M. S. "Nonlinear vibrations of a clamped orthotropic circular plate with a concentric rigid mass." 1988. http://hdl.handle.net/2097/22630.

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Lee, Kun-Wei, and 李坤韋. "Out of Plane Vibrations Models of an Asymmetry Structure with Partially Clamped Joints." Thesis, 2009. http://ndltd.ncl.edu.tw/handle/a5f35e.

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碩士
崑山科技大學
機械工程研究所
97
In the practice, the joint of a frame may be partially or completely clamped. So far, its effect on the dynamic behavior has not investigated clearly. In this study, these joints are mathematically simulated and generalized as an elastic joint associated with a rotational spring constant. The elastic joint allows the rotational angle difference of joint between two connected elements. In addition, there exists the moment resistivity against the rotational angle difference. This moment resistivity is defined as a rotational spring constant. If the spring constant is infinite, the joint is completely clamped and the rotational angle difference is zero. In the other hand, if the spring constant is zero, the joint is hinged. Moreover, the bending vibration model of a general asymmetry frame with two elastic joints is established here. Its exact solution for the general system is derived. It is found that the effects of the rotational spring constants, the ratios of the bending rigidities and the element lengths on the vibration of a frame are significant.
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Book chapters on the topic "Clamped plate vibration"

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Li, Shengquan, Juan Li, Jiawei Zhou, Yanqiu Shi, and Shenghua Yuan. "Amended Disturbance Observer Compensation-Based Vibration Control for an All-Clamped Stiffened Plate." In Neural Information Processing, 334–44. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-70136-3_36.

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Kocer, Levent, Ismail Demirci, and Mehmet Yetmez. "Free Vibration Analysis of Clamped-Free Composite Elliptical Shell with a Plate Supported by Two Aluminum Bars." In Advanced Structured Materials, 185–94. Cham: Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-00506-5_12.

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Neha Ahlawat and Roshan Lal. "Axisymmetric Vibrations of Variable Thickness Functionally Graded Clamped Circular Plate." In Advances in Intelligent Systems and Computing, 261–71. Singapore: Springer Singapore, 2016. http://dx.doi.org/10.1007/978-981-10-0448-3_21.

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Abdelali, Hanane Moulay, Bilal Harras, and Rhali Benamar. "Geometrically Non-linear Free Vibration of Fully Clamped Symmetrically Laminated Composite Skew Plates." In Applied Condition Monitoring, 443–52. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-14532-7_45.

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Rani, Rashmi, and Roshan Lal. "Radially Symmetric Vibrations of Exponentially Tapered Clamped Circular Sandwich Plate Using Harmonic Differential Quadrature Method." In Mathematical Analysis and its Applications, 633–43. New Delhi: Springer India, 2015. http://dx.doi.org/10.1007/978-81-322-2485-3_52.

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Behera, Ranjan K., Nitin Sharma, and S. K. Parida. "Finite Element Analysis of Buckling, Free Vibration and Flexure of Clamped Laminated Composite Plates in Variable Thermal Environment." In Advances in Mechanical Engineering, 1151–61. Singapore: Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-0124-1_102.

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"Vibration Tailoring of Clamped–Clamped Polar Orthotropic Inhomogeneous Circular Plates." In Mechanics of Functionally Graded Material Structures, 177–92. WORLD SCIENTIFIC, 2015. http://dx.doi.org/10.1142/9789814656597_0010.

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Turvey, G. J., and N. Mulcahy. "Free Vibration of Clamped Pultruded GRP Circular Plates with Central Circular Cut-Outs." In Thin-Walled Structures, 927–34. CRC Press, 2018. http://dx.doi.org/10.1201/9781351077309-107.

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Lin, Shueei-Muh, Kun-Wei Lee, and Wen-Rong Wang. "Coupled bending and torsional out-of-plane vibrations model of a frame structure with partially clamped joints." In Applied System Innovation, 513–17. CRC Press, 2016. http://dx.doi.org/10.1201/b21811-104.

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Conference papers on the topic "Clamped plate vibration"

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Tseng, Jung-Ge, and Jonathan A. Wickert. "Vibration of an Eccentrically Clamped Annular Plate." In ASME 1993 Design Technical Conferences. American Society of Mechanical Engineers, 1993. http://dx.doi.org/10.1115/detc1993-0260.

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Abstract Small amplitude vibration of an eccentric annular plate, which is free along its outer edge and clamped along the interior, is investigated through experimental and analytical methods. A disk with this geometry, or a stacked array in which the clamping and symmetry axes of each disk are nominally coincident, is common in data storage and brake systems applications. In the present case, the geometric imperfections on the boundary can have important implications for the disk’s dynamic response. Changes that occur in the natural frequency spectrum, the mode shapes, and the free response under eccentric mounting are studied through laboratory measurements and an approximate discrete model of the plate. The natural frequencies and modes are found through global discretization of the Kamke quotient for a classical thin plate. For the axisymmetric geometry, the natural frequencies of the “sine” and “cosine” vibration modes for a specified number of nodal diameters are repeated. With increasing eccentricity, on the other hand, each pair of repeated frequencies splits at a rate that depends on the number of nodal diameters. Over a range of clamping and eccentricity ratios, the model’s predictions are compared to the measured results.
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Shimon, Philip T., Yildirim Hurmuzlu, and Edmond Richer. "Active Vibration Control of a Clamped Square Plate." In ASME 2002 International Mechanical Engineering Congress and Exposition. ASMEDC, 2002. http://dx.doi.org/10.1115/imece2002-33530.

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In this paper, we sought to develop an efficient controller for vibration reduction in a fully clamped plate. We investigated three control methodologies (positive velocity feedback, sliding mode control, and H∞ control) and two types of actuators (an inertial actuator and a distributed strain actuator). These were used to develop five control architectures (the sliding mode controller was not implemented for the inertial actuator). Both theoretical and experimental studies were undertaken with varying results. The best theoretical results were obtained when sliding mode and H∞ control were used in conjunction with a distributed strain actuator. Experimentally, the H∞ controller using the distributed strain actuator outperformed the others.
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Hadi, Muhamad Sukri, Intan Z. Mat Darus, and Hanim Mohd Yatim. "Active vibration control of flexible plate with free-free-clamped-clamped edges using genetic algorithm." In 2013 3rd Australian Control Conference (AUCC). IEEE, 2013. http://dx.doi.org/10.1109/aucc.2013.6697257.

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Diambu, Alif Ngimbi, and Mehmet Çevik. "Finite Element Vibration Analysis of a Functionally Graded Plate." In International Students Science Congress. Izmir International Guest Student Association, 2021. http://dx.doi.org/10.52460/issc.2021.043.

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Functionally Graded (FG) materials are recent types of engineering materials Fdeveloped as a solution for applications where a couple of relevant properties of different materials are desired in a single continuous composite structure. In these materials, properties are patterned in a way to insure a gradient and continuous property transition direction-wise. This study is a contribution in the literature among other studies but provides an additional understanding of FG Plate structures vibrational behavior in terms of natural frequencies and modal shapes. For this end, an FG plate is modelized and analyzed using AnsysAPDL. Two boundary conditions (all sides clamped “CCCC” and two parallel sides clamped with two others free “CCFF”) for the same plate element and two power law indices “n” are considered. Results are compared with those in the literature and conclusions are drawn accordingly.
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Cleghorn, W. L., and S. D. Yu. "Effect of Shear Deformation on Free Flexural Vibration of Clamped Rectangular Plates." In ASME 1991 Design Technical Conferences. American Society of Mechanical Engineers, 1991. http://dx.doi.org/10.1115/detc1991-0292.

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Abstract Reissner’s theory on shear-deformable plates is applied to analyze free flexural vibration of clamped rectangular plates. Accurate analytical solutions are obtained using the method of supeiposition. The first six eigenvalues with four digits of accuracy are presented for plates with three thickness ratios and six plate aspect ratios.
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Dogan, Vedat. "Nonlinear Random Vibration of Functionally Graded Plates." In ASME 2010 International Mechanical Engineering Congress and Exposition. ASMEDC, 2010. http://dx.doi.org/10.1115/imece2010-38251.

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The nonlinear random vibration of functionally graded plates under random excitation is presented. Material properties are assumed to be independent of temperature. The plates are assumed to have isotropic, two-constituent material distribution through the thickness. The modulus of elasticity, thermal expansion coefficient and density vary according to a power-law distribution in terms of the volume fractions of the constituents. The Classical Plate Theory (CPT) is employed for analytical formulations. Geometric nonlinearity due to in-plane stretching and von Karman type is considered. A Monte Carlo simulation of stationary random processes, multi-mode Galerkin-like approach, and numerical integration procedures are used to develop linear and nonlinear response solutions of clamped functionally graded plates. Uniform temperature distributions through the plate are assumed. Numerical results include time domain response histories, root mean square (RMS) values and response spectral densities. Effects of material composition and temperature rise are also investigated.
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Okada, Kenji, Ken-ichi Nagai, Shinichi Maruyama, and Takao Yamaguchi. "Effects of a Concentrated Mass on Chaotic Vibrations of a Clamped Circular Plate With Initial Deformation." In ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/detc2011-48271.

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Experimental results are presented on effects of a concentrated mass on chaotic vibrations of a clamped circular plate. The plate has initial deformation due to initial deflection and initial in-plane compressive constraint at the boundary. The concentrated mass is attached on the center of the plate. Under periodic excitation, non-periodic responses with dynamic snap-through are generated on the plates. The responses are inspected by the Fourier spectrum, the Poincare´ projection, the maximum Lyapunov exponents and the principal component analysis. The non-periodic responses are found to be chaotic responses. The lowest mode of vibration shows the largest contribution ratio. When the concentrated mass is attached on the plate, the region of the response is shifted to the lower frequency. Furthermore, the width of the frequency region is decreased. The contribution ratio of the lowest mode slightly increases.
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8

Hambric, Stephen A., Yun Fan Hwang, and William K. Bonness. "Vibrations of Plates With Clamped and Free Edges Excited by Highly Subsonic Turbulent Boundary Layer Flow." In ASME 2002 International Mechanical Engineering Congress and Exposition. ASMEDC, 2002. http://dx.doi.org/10.1115/imece2002-32224.

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Plate vibrations due to turbulent boundary layer (TBL) excitation can depend strongly on the plate boundary conditions, especially when the flow convects over the plate at speeds much slower than those of the bending waves in the plate. The vibration response of a TBL excited flat rectangular plate is analyzed with two sets of boundary conditions: (A) all four edges clamped, and (B) three edges clamped and one edge free, with the flow direction perpendicular to the free edge. A finite element model with discretization sufficient to resolve the convective wavenumbers in the flow excitation field is used for the study. Three TBL wall pressure excitation models are applied to the plates to represent the cross-spectra of the wall pressures: (1) a modified Corcos model, which includes all wavenumber components of excitation; (2) a low-wavenumber excitation model previously derived by one of the authors, which only models the wavenumber-white region of the modified Corcos model; and (3) an equivalent edge force model which only models the convective component in the modified Corcos model. The TBL wall pressure autospectrum is approximated using the model derived by Smolyakov and Tkachenko. The results obtained from applying models (2) and (3) to the clamped and free edge plates are compared to those generated using model (1). For the completely clamped boundary conditions, the low-wavenumber and Modified Corcos models yield nearly identical vibration spectra, indicating that surface interactions dominate the response of fully clamped plates excited by TBL pressures. For the free edge boundary condition, the vibrations predicted using the equivalent edge force and modified Corcos models match very well, showing that edge interactions between TBL pressures and structural modes dominate the vibrations of plates with free edges excited by TBL flow.
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9

Nikkhah-Bahrami, M., and Abazar Shamekhi. "Free Vibration Analysis of Circular FGM Plate Having Variable Thickness Under Axisymmetric Condition by Finite Element Method." In ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/detc2005-84021.

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This study presents the free vibration analysis of circular plate having variable thickness made of functionally-graded material. The boundary conditions of the plate is either simply supported or clamped. Dynamic equations were obtained using energy method based on Love-Kichhoff hypothesis and Sander’s non-linear strain-displacement relation for thin plates. The finite element method is used to determine the natural frequencies. The results obtained show good agreement with known analytical data. The effects of thickness variation and Poisson’s ratio are investigated by calculating the natural frequencies. These effects are found not to be the same for simply supported and clamped plates.
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10

Aridogan, Ugur, Ipek Basdogan, and Alper Erturk. "Electroelastic Finite Element Modeling and Experimental Validation of Structurally-Integrated Piezoelectric Energy Harvester." In ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/detc2013-13226.

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Vibration-based energy harvesting has attracted interest of researchers from various disciplines over the past decade. In the literature of piezoelectric energy harvesting, the typical configuration is a unimorph or a bimorph cantilevered piezoelectric beam located on a vibrating host structure subjected to base excitations. As an alternative to cantilevered piezoelectric beams, piezoelectric layers structurally integrated on thin plates can be used as vibration-based energy harvesters since plates and plate-type structures are commonly used in aerospace, automotive and marine applications. The aim of this paper is to present experiments and electroelastic finite element simulations of a piezoelectric energy harvester structurally integrated on a thin plate. The finite element model of the piezoceramic patch and the all-edges-clamped plate are built. In parallel, an experimental setup is constructed using a thin PZT-5A piezoceramic patch attached on the surface of all-edges-clamped rectangular aluminum plate. The electroelastic frequency response functions relating voltage output and vibration response to forcing input are validated using the experimentally obtained results. Finally, electrical power generation of the piezoceramic patch is investigated using the experimental set-up for a set of resistive loads. The numerical predictions and experimental results show that the use of all-edge-clamped flexible plate as host structure for piezoelectric energy harvester leads to multimodal vibration-to-electricity conversion.
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