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Keywords: eigenvalues and eigenfunctions
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Journal Articles
Article Type: Research Papers
J. Appl. Mech. July 2011, 78(4): 041007.
Published Online: April 13, 2011
... in Refs. , which also offer some historical background on the subject. eigenvalues and eigenfunctions 03 03 2009 06 12 2010 08 12 2010 13 04 2011 13 04 2011 2011 American Society of Mechanical Engineers ...
Journal Articles
Article Type: Research Papers
J. Appl. Mech. May 2011, 78(3): 031019.
Published Online: February 17, 2011
... with the experimental data. 05 03 2010 14 12 2010 05 01 2011 17 02 2011 17 02 2011 eigenvalues and eigenfunctions elasticity internal stresses neutron diffraction numerical analysis rails eigenstrain residual stress neutron diffraction numerical simulation...
Journal Articles
Article Type: Research Papers
J. Appl. Mech. March 2011, 78(2): 021016.
Published Online: November 10, 2010
... of this method, as well as some numerical examples, are given to validate the method. eigenvalues and eigenfunctions finite element analysis flexible structures eigenvalue problem transfer matrix method finite element plate/shell repeated eignvalue Characterization of the natural...
Journal Articles
Article Type: Technical Briefs
J. Appl. Mech. January 2011, 78(1): 014503.
Published Online: October 13, 2010
... 13 10 2010 13 10 2010 buckling eigenvalues and eigenfunctions elasticity inclusions plates (structures) elastic plate eigenstrain buckling Since the seminal work by Eshelby ( 1 ), extensive studies on elastic deformation of solids with inclusions were reported...
Journal Articles
Article Type: Research Papers
J. Appl. Mech. November 2010, 77(6): 061013.
Published Online: September 1, 2010
... systems. A numerical procedure proves the above results and also shows the dependency relationship for the general nonclassical damping cases. 18 10 2006 12 12 2009 01 09 2010 01 09 2010 damping eigenvalues and eigenfunctions elastic constants linear systems reduced order...
Journal Articles
Article Type: Research Papers
J. Appl. Mech. November 2010, 77(6): 061007.
Published Online: August 19, 2010
... a considerable freedom for defining a controller. orthogonal eigenstructure control operating eigenvalues eigenstructure assignment vibration reduction plate eigenvalues and eigenfunctions finite element analysis flexible structures plates (structures) vibrations 28 02 2008 04...
Journal Articles
Article Type: Research Papers
J. Appl. Mech. November 2010, 77(6): 061003.
Published Online: August 16, 2010
... polarization vectors for wave propagation in several compression directions as well as noncompression directions are discussed. 01 05 2009 19 01 2010 02 04 2010 16 08 2010 16 08 2010 eigenvalues and eigenfunctions elasticity hyperbolic equations partial differential...
Journal Articles
Article Type: Research Papers
J. Appl. Mech. July 2010, 77(4): 041003.
Published Online: March 31, 2010
... mechanical structures. Depending on the application, a system may imply a complete structure, e.g., a car body-in-white, or it can also imply a small substructure, e.g., a beam or a plate. approximation theory damping eigenvalues and eigenfunctions oscillations reduced order systems state-space...
Journal Articles
Article Type: Research Papers
J. Appl. Mech. May 2010, 77(3): 031019.
Published Online: March 5, 2010
... are reported for several ratios of orthotropic coefficient. 22 05 2008 17 07 2009 05 03 2010 05 03 2010 eigenvalues and eigenfunctions plates (structures) vibrations vibration tailoring circular plates semi-inverse method closed-form solutions Vibration tailoring...
Journal Articles
Article Type: Research Papers
J. Appl. Mech. May 2010, 77(3): 031015.
Published Online: February 24, 2010
... on the dynamics involving mechanically and thermally-induced phase transformations and the hysteresis effects induced by such transformations are presented. 18 01 2006 03 08 2009 24 02 2010 24 02 2010 Chebyshev approximation eigenvalues and eigenfunctions elastic hysteresis...
Journal Articles
Article Type: Research Papers
J. Appl. Mech. March 2010, 77(2): 021015.
Published Online: December 14, 2009
... construction, two such sheets (face sheets) are bonded to a core slab of different (light) material. Both the core and the face sheets can be isotropic or anisotropic. beams (structures) boundary-value problems buckling compressibility differential equations eigenvalues and eigenfunctions...
Journal Articles
Article Type: Research Papers
J. Appl. Mech. September 2009, 76(5): 051006.
Published Online: June 18, 2009
... . Fundamental mesh for the third mode h-version FEM, and the first two refinements 11 07 2008 05 02 2009 18 06 2009 beams (structures) bending strength cantilevers eigenvalues and eigenfunctions elastic constants finite element analysis However, in the absence of an exact...
Journal Articles
Article Type: Research Papers
J. Appl. Mech. July 2009, 76(4): 041007.
Published Online: April 22, 2009
... = 0 , and ν 0 = 2 ω 1 ( K = 12 ) 25 01 2008 16 09 2008 22 04 2009 damping eigenvalues and eigenfunctions Lyapunov methods method of moments noise partial differential equations resonance stability stochastic processes...
Journal Articles
Journal Articles
Article Type: Research Papers
J. Appl. Mech. November 2008, 75(6): 061018.
Published Online: August 21, 2008
... of divergence and flutter instabilities of nonconservative plates. dynamic stability follower force viscoelastic plate crack differential quadrature method cracks differential equations eigenvalues and eigenfunctions plates (structures) vibrations viscoelasticity 16 04 2007 27...
Journal Articles
Article Type: Research Papers
J. Appl. Mech. September 2008, 75(5): 051006.
Published Online: July 15, 2008
... 15 07 2008 continuum mechanics eigenvalues and eigenfunctions elasticity finite element analysis optimisation tensors topology Topology optimization is often called as layout optimization or generalized shape optimization. The importance of topology optimization...
Journal Articles
Journal Articles
Article Type: Research Papers
J. Appl. Mech. July 2008, 75(4): 041007.
Published Online: May 13, 2008
... eigenvalues and eigenfunctions Galerkin method mechanical stability Newton-Raphson method partial differential equations shells (structures) vibrations shell panels stability limit points Galerkin technique axial compression The changes in the plate and shell panel vibration...
Journal Articles
Article Type: Research Papers
J. Appl. Mech. May 2008, 75(3): 031014.
Published Online: May 1, 2008
... modes are classified into rotational, translational, planet, and purely ring modes. The well defined properties of each type of mode are analytically determined. All modal properties are verified numerically. 27 05 2006 08 11 2007 01 05 2008 eigenvalues and eigenfunctions...
Journal Articles
Article Type: Research Papers
J. Appl. Mech. May 2008, 75(3): 031009.
Published Online: April 8, 2008
... , pp. 5109 – 5115 . 26 02 2007 23 08 2007 08 04 2008 aluminium amorphous state deformation eigenvalues and eigenfunctions elastic constants elastoplasticity micromechanics nanocomposites nanoparticles particle reinforced composites particle size stress-strain...