The Experts below are selected from a list of 270 Experts worldwide ranked by ideXlab platform

Chai Gin Boay - One of the best experts on this subject based on the ideXlab platform.

  • Frequency analysis of rectangular isotropic plates carrying a Concentrated Mass
    Computers & Structures, 1995
    Co-Authors: Chai Gin Boay
    Abstract:

    Abstract A free vibration analysis of rectangular isotropic plates carrying a Concentrated Mass is analysed and presented in this contribution. The deflection of the plate is postulated by a multi-term trigonometric series function. The Ritz approach is applied to rectangular plates with various edge support combinations of clamp and simple support conditions. A thorough comparison with well known published results is presented for the case of free vibration of unloaded plates and good agreement is observed. An extensive comparison of the predicted results with experimental data is presented for a rectangular aluminium plate with S-C-S-C edge supports and carrying a Concentrated Mass. The effect of different locations of the Concentrated Mass on the fundamental frequency of the plate is presented in detail.

  • Free vibration of rectangular isotropic plates with and without a Concentrated Mass
    Computers & Structures, 1993
    Co-Authors: Chai Gin Boay
    Abstract:

    Abstract The natural frequencies of plates without and with a Concentrated Mass are analysed and presented. The effect of the various combinations of clamped (C) and simply-supported (S) conditions along the edges of the plates on natural frequencies is also presented. The Rayleigh-energy method is used in the theoretical formulation and single-term trigonometric functions are used to postulate the appropriate mode shapes. An extensive comparison of the results with well-known solutions is presented for plates carrying no Concentrated Mass. Comparison of the results for plates carrying a Concentrated Mass with published results is however limited. Lastly some experimental results for the case of the S-C-S-C plate carrying a Concentrated Mass are presented and discussed.

K.h. Low - One of the best experts on this subject based on the ideXlab platform.

  • An equivalent-center method for quick frequency analysis of beams carrying a Concentrated Mass
    Computers & Structures, 1994
    Co-Authors: K.h. Low
    Abstract:

    Abstract This article is concerned with the fundamental frequency of vibrating beams carrying a Concentrated Mass at various locations. An equivalent-center method for obtaining the frequencies of the loaded beams has been presented. The generated design curves can be used generally for beams with different boundary conditions by introducing the dimensionless parameters. Results show that the equivalent-center weight and frequency factors are to evaluate effectively and quickly the fundamental frequency of a beam carrying a Mass at various locations through merely the frequency of the center-loaded beam. The weight factor further facilitates the process since only a small range of frequencies is required.

  • Experimental and Analytical Study of the Frequencies of an S-C-S-C Plate Carrying a Concentrated Mass
    Journal of Vibration and Acoustics, 1993
    Co-Authors: K.h. Low, G. B. Chai
    Abstract:

    The present work is concerned with the determination of the fundamental frequencies of a simply supported-clamped-simply supported-clamped (SCSC) plate carrying a Concentrated Mass. An energy method based on the Rayleigh’s approach has been developed to obtain approximate closed-form solutions. A finite element analysis is also presented for comparison. Extensive experimental investigation through a shaker system was conducted to collect useful test data. The comparison of experimental results with theoretical predictions of the energy method shows favorable correlations. In the parametric study, the effect of various sizes of the Concentrated Mass, and the effect of the variation in the plate geometry and material properties on the fundamental frequencies of the plate are presented.

Matthew P. Cartmell - One of the best experts on this subject based on the ideXlab platform.

  • The location of a Concentrated Mass on rectangular plates from measurements of natural vibrations
    Computers & Structures, 2002
    Co-Authors: Wieslaw Ostachowicz, Marek Krawczuk, Matthew P. Cartmell
    Abstract:

    This paper presents new results for the identification of the location of a Concentrated Mass on isotropic plates by means of a genetic algorithm search technique based on changes in natural frequencies. The location and size of the Mass are determined by minimisation of an error function, which expresses the difference between calculated and measured natural frequencies. Simulation studies indicate that changes in natural frequencies allow the estimation of Mass location and magnitude at high levels of accuracy and speed. The advantages and limitations of this technique are also discussed.

F. Kosel - One of the best experts on this subject based on the ideXlab platform.

  • Dynamic response with respect to base movement of spring frame supported cantilever simple beam with Concentrated Mass
    Computers & Structures, 1997
    Co-Authors: Jin Chen, F. Kosel
    Abstract:

    Abstract In this paper, the principle of relative motion is used to investigate the dynamic response of a spring-frame-supported cantilever simple beam with Concentrated Mass. Both free vibration and forced vibration caused by the base movement are studied. The cantilever simple beam is discretized into a simple beam and a cantilever beam. Therefore, the general analytical solution of homogeneous beams with uniform cross-section can be used in each beam. The general analytical solution of the whole beam in terms of initial parameters is obtained. In the case of free vibration, the frequency equation can be obtained in an analytical form, and in the case of base movement, a final solution can also be obtained analytically by using the dynamic response of the supporting spring frame as its vibrating source. From our analysis one can see that the accuracy of the solution of the spring-Mass of two degrees of freedom is quite satisfactory for engineering purposes in the case of considering only the movement of the point where the Concentrated Mass P stands.

Yin Zhang - One of the best experts on this subject based on the ideXlab platform.

  • eigenfrequency computation of beam plate carrying Concentrated Mass spring
    Journal of Vibration and Acoustics, 2011
    Co-Authors: Yin Zhang
    Abstract:

    With the adsorption of analyte on the resonator Mass sensor, the system eigenfrequencies will shift due to the changes of inertial Mass and structural rigidity. How to model those changes and formulate the eigenfrequency computation is very important to the Mass sensor application, which results in different accuracies and requires different amounts of computation. Different methods on the eigenfrequency computation of a beam and a plate carrying arbitrary number of Concentrated Mass/spring are presented and compared. The advantages and disadvantages of these methods are analyzed and discussed. A new method called finite mode transform method (FMTM) is shown to have good convergence and require much less computation for a beam carrying Concentrated Mass/spring. Because the previous finite sine transform method (FSTM) has only been applied to compute the eigenfrequency of the plate with four edges simply supported carrying a single Concentrated Mass, here a generalized FSTM is also presented for the case of the same plate carrying arbitrary number of Concentrated Mass and spring. When the total number of Concentrated Mass and spring is small, FMTM and FSTM are demonstrated to be very efficient. [DOI: 10.1115/1.4002121]

  • Eigenfrequency Computation of Beam/Plate Carrying Concentrated Mass/Spring
    Journal of Vibration and Acoustics, 2011
    Co-Authors: Yin Zhang
    Abstract:

    With the adsorption of analyte on the resonator Mass sensor, the system eigenfrequencies will shift due to the changes of inertial Mass and structural rigidity. How to model those changes and formulate the eigenfrequency computation is very important to the Mass sensor application, which results in different accuracies and requires different amounts of computation. Different methods on the eigenfrequency computation of a beam and a plate carrying arbitrary number of Concentrated Mass/spring are presented and compared. The advantages and disadvantages of these methods are analyzed and discussed. A new method called finite mode transform method (FMTM) is shown to have good convergence and require much less computation for a beam carrying Concentrated Mass/spring. Because the previous finite sine transform method (FSTM) has only been applied to compute the eigenfrequency of the plate with four edges simply supported carrying a single Concentrated Mass, here a generalized FSTM is also presented for the case of the same plate carrying arbitrary number of Concentrated Mass and spring. When the total number of Concentrated Mass and spring is small, FMTM and FSTM are demonstrated to be very efficient. [DOI: 10.1115/1.4002121]

  • Eigenfrequency Shift of Micro-sensor with the Concentrated Mass and Spring
    2007 International Conference on Mechatronics and Automation, 2007
    Co-Authors: Yun Liu, Yin Zhang
    Abstract:

    A new method called finite mode transform method (FMTM) on the eigenfrequency computation of an Euler-Bernoulli beam carrying arbitrary number of Concentrated Mass and spring is introduced and compared with other existing methods. The FMTM shows good convergence with the increase of the mode number and is a much faster algorithm compared with the analytical method and Galerkin method when the total number of Concentrated Mass and spring is small. A discussion on the advantages and disadvantages of the microsensor eigenfrequency computation formulation by these three methods (FMTM, analytical and Galerkin) is also presented.