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Keywords: differential equations
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Journal Articles
Journal:
Journal of Vibration and Acoustics
Article Type: Research Papers
J. Vib. Acoust. April 2012, 134(2): 021019.
Published Online: January 26, 2012
...C. C. Hong The thermal vibration study of magnetostrictive functionally graded material (FGM) plate under rapid heating is computed by using the generalized differential quadrature (GDQ) method. The dynamic equilibrium differential equations with displacements and shear rotations...
Journal Articles
Journal:
Journal of Vibration and Acoustics
Article Type: Research Papers
J. Vib. Acoust. December 2011, 133(6): 061013.
Published Online: November 28, 2011
... or tensile) and other parameters of the PVC layers on the vibration characteristics of flexible structure have been investigated. The Hamilton principle in conjunction with finite element method is used to derive the differential equations of motion. Using proportional feedback controllers, the complex...
Journal Articles
Journal:
Journal of Vibration and Acoustics
Article Type: Research Papers
J. Vib. Acoust. December 2011, 133(6): 061019.
Published Online: November 28, 2011
..., a special case of a cantilever microbeam is studied and modeled as a distributed-parameter system, which is attached to the PCB. These lumped-distributed and distributed-distributed models are discretized into ordinary differential equations, using the Galerkin method, which are then integrated numerically...
Journal Articles
Journal:
Journal of Vibration and Acoustics
Article Type: Research Papers
J. Vib. Acoust. June 2011, 133(3): 031001.
Published Online: March 24, 2011
... is of great importance. In this paper, the free vibration of an inclined taut cable is further investigated by accounting for the factor of the weight component parallel to the cable chord. Two coupled linear differential equations describing two-dimensional in-plane motion of the cable are derived based...
Journal Articles
Journal:
Journal of Vibration and Acoustics
Article Type: Research Papers
J. Vib. Acoust. August 2010, 132(4): 041007.
Published Online: May 25, 2010
...Peng Lan; Ahmed A. Shabana The goal of this study is to develop the dynamic differential equations of the first finite element based on the rational absolute nodal coordinate formulation (RANCF) and to demonstrate its use in the nonlinear dynamic and vibration analysis of flexible bodies...
Journal Articles
Journal:
Journal of Vibration and Acoustics
Article Type: Research Papers
J. Vib. Acoust. August 2010, 132(4): 041001.
Published Online: May 20, 2010
... differential equation of motion. Frequency equations for an annular plate for two different combinations of edge conditions have been obtained employing Chebyshev collocation technique. Numerical results thus obtained have been presented in the form of tables and graphs. The effect of foundation parameter...
Journal Articles
Journal:
Journal of Vibration and Acoustics
Article Type: Research Papers
J. Vib. Acoust. April 2010, 132(2): 021006.
Published Online: March 16, 2010
... were used to represent the active material while the inertia, viscous losses, and compressibility of the fluid were included using differential equations. Factors affecting system performance are identified and the inclusion of fluid inertia in the model is also justified. The active material used...
Journal Articles
Journal:
Journal of Vibration and Acoustics
Article Type: Research Papers
J. Vib. Acoust. October 2009, 131(5): 051011.
Published Online: September 25, 2009
... compared with other generic time stepping techniques. 10 03 2008 17 04 2009 25 09 2009 damping differential equations numerical analysis oscillations oscillators Differential equations with constant coefficients are widely used in physics and engineering to study...
Journal Articles
Journal:
Journal of Vibration and Acoustics
Article Type: Technical Briefs
J. Vib. Acoust. February 2009, 131(1): 014502.
Published Online: January 8, 2009
..., and show that this leads to a significantly improved quality. Our idea also works for operators of order greater than 1. damping differential equations integration mathematical operators numerical analysis vibrations fractional derivative numerical method Yuan–Agrawal method We...
Journal Articles
Journal:
Journal of Vibration and Acoustics
Article Type: Technical Briefs
J. Vib. Acoust. December 2008, 130(6): 064504.
Published Online: October 22, 2008
... quantification, which generally require an efficient and robust sensitivity calculation method. In this paper, the sensitivity of the milling process, which can be modeled by a set of time delay differential equations, to variations in the input parameters is calculated. The semi-analytical derivative...
Journal Articles
Journal:
Journal of Vibration and Acoustics
Article Type: Research Papers
J. Vib. Acoust. October 2008, 130(5): 051006.
Published Online: August 13, 2008
... 13 08 2008 differential equations magnetic tape storage plates (structures) vibrations In magnetic tape libraries, which are used in industrial applications for high-density computer data storage, information is written to and read from data tracks that are spaced parallel to one...
Journal Articles
Journal:
Journal of Vibration and Acoustics
Article Type: Research Papers
J. Vib. Acoust. August 2008, 130(4): 041005.
Published Online: July 1, 2008
... nonlinear equations. The long-term stability properties of the symplectic geometric algorithm have been given in Sec. 2C . (1) The accuracy of solving stiffness equations . In order to validate the accuracy of the symplectic precise integration method, a stiff differential equation with analytical...
Journal Articles
Journal:
Journal of Vibration and Acoustics
Article Type: Research Papers
J. Vib. Acoust. February 2008, 130(1): 011004.
Published Online: November 12, 2007
... the governing differential equations of motion that describe the deformations of the beam element according to the trigonometric shear deformation theory, which include the sinusoidal variation of the axial displacement over the cross section of the beam. The application of the dynamic stiffness matrix...
Journal Articles
Improving Excitations for Active Sensing in Structural Health Monitoring via Evolutionary Algorithms
Journal:
Journal of Vibration and Acoustics
Article Type: Technical Papers
J. Vib. Acoust. December 2007, 129(6): 784–802.
Published Online: March 14, 2007
.... This work demonstrates that the parameters of a system of ordinary differential equations may be adjusted via an evolutionary algorithm to produce excitations that improve the sensitivity and robustness to extraneous noise of state-space based damage detection features extracted from the structural response...
Journal Articles
Journal:
Journal of Vibration and Acoustics
Article Type: Technical Briefs
J. Vib. Acoust. August 2006, 128(4): 532–534.
Published Online: February 21, 2006
...Igor V. Andrianov; Jan Awrejcewicz; Alexander A. Diskovsky A novel asymptotical approach to integrate differential equations governing quasi-regular structures, particularly suitable on the stage of construction design, is proposed. It is worth noticing that many structures are governed...
Journal Articles
Journal:
Journal of Vibration and Acoustics
Article Type: Technical Papers
J. Vib. Acoust. June 2006, 128(3): 366–374.
Published Online: November 28, 2005
... degrees of freedom, viz., three translational components along the cylindrical coordinates and two rotational components of the normal to the middle surface. Then the strain and kinetic energy expressions are obtained in terms of these displacement fields. The differential equation governing the vibration...
Journal Articles
Journal:
Journal of Vibration and Acoustics
Article Type: Article
J. Vib. Acoust. February 2005, 127(1): 103.
Published Online: March 21, 2005
...Z. S. Liu,; D. T. Song, and; C. Huang; D. J. Wang; S. H. Chen 21 03 2005 vibrations damping approximation theory matrix algebra differential equations eigenvalues and eigenfunctions We appreciate S. M. Shahruz for his interest in our paper and for the useful comments...
Journal Articles
Journal:
Journal of Vibration and Acoustics
Article Type: Technical Papers
J. Vib. Acoust. April 2004, 126(2): 212–219.
Published Online: May 4, 2004
...L. Starek; D. J. Inman, Fellow ASME This paper summarizes the authors’ previous efforts on solving inverse eigenvalue problems for linear vibrating systems described by a vector differential equations with constant coefficient matrices and nonproportional damping. The inverse problem of interest...
Journal Articles
Journal:
Journal of Vibration and Acoustics
Article Type: Technical Papers
J. Vib. Acoust. April 2003, 125(2): 228–243.
Published Online: April 1, 2003
... of governing partial differential equations is reduced to a “special form” of a system of the first order ordinary differential equations. Then, they are integrated by the “Modified Transfer Matrix Method (with Interpolation Polynomials).” The mode shapes and the natural frequencies of the composite system...
Journal Articles
Journal:
Journal of Vibration and Acoustics
Article Type: Technical Papers
J. Vib. Acoust. January 2003, 125(1): 73–79.
Published Online: January 6, 2003
... characteristics of the structure dealt with, the differential equations of the forced motion caused by a time dependent axial loading of the form P = P 0 + P t cos θ t are reduced to a set of Mathieu-Hill type equations. These may be thereafter tackled and the dynamic stability problem comprehensively discussed...
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