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Keywords: integro-differential equations
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Journal Articles
Article Type: Research Papers
J. Appl. Mech. July 2011, 78(4): 041017.
Published Online: April 15, 2011
...) elasticity finite element analysis integro-differential equations lifts partial differential equations vibrations elevator traveling cables slope angle integropartial differential equation flexible multibody dynamics differential-algebraic equations A typical elevator system, as shown...
Journal Articles
Article Type: Research Papers
J. Appl. Mech. March 2010, 77(2): 021011.
Published Online: December 11, 2009
... and Murdoch. Complex variable methods are used to obtain an exact solution valid everywhere in the domain of interest (including at the crack tip) by reducing the problem to a Cauchy singular integro-differential equation of the first order. Finally, we adapt classical collocation methods to obtain numerical...
Journal Articles
Article Type: Research Papers
J. Appl. Mech. November 2008, 75(6): 061015.
Published Online: August 21, 2008
... , 30 ( 10 ), pp. 1507 – 1523 . 23 02 2007 27 02 2007 21 08 2008 Chebyshev approximation crack-edge stress field analysis elastic constants elasticity fracture mechanics functionally graded materials integro-differential equations polynomial approximation shear...
Journal Articles
Article Type: Technical Briefs
J. Appl. Mech. September 2007, 74(5): 1026–1030.
Published Online: August 15, 2006
... decaying kernel functions. Conventional viscous and viscoelastic damping models can be obtained as special cases of this general damping model. The equation of motion of the beam with such a general damping model results in a linear partial integro-differential equation. Exact closed-form equations...
Journal Articles
Article Type: Technical Papers
J. Appl. Mech. March 2007, 74(2): 365–372.
Published Online: March 13, 2006
...S. L. Mitchell; R. Kuske; A. P. Peirce This paper presents a novel asymptotic framework to obtain detailed solutions describing the propagation of hydraulic fractures in an elastic material. The problem consists of a system of nonlinear integro-differential equations and a free boundary problem...
Journal Articles
Article Type: Technical Papers
J. Appl. Mech. September 2003, 70(5): 732–738.
Published Online: October 10, 2003
... = u ″ t , 1 = 0 . Equation ( 1 ) represents an infinite-degree-of-freedom Hamiltonian system (see Appendix A). vibrations chaos modelling partial differential equations integro-differential equations simulation eigenvalues and eigenfunctions Galois fields 04...
Journal Articles
Article Type: Technical Papers
J. Appl. Mech. July 2003, 70(4): 531–542.
Published Online: August 25, 2003
... field analysis fracture mechanics surface energy shear modulus boundary-value problems Fourier transforms integro-differential equations Chebyshev approximation 18 Oct 2000 06 Sep 2001 25 08 2003 Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY...
Journal Articles
Article Type: Technical Papers
J. Appl. Mech. May 2002, 69(3): 325–334.
Published Online: May 3, 2002
... of the system is reduced by orders of magnitude near resonance. The robustness of the proposed control methodology with respect to phase and frequency variations is also demonstrated. vibration control structural engineering resonance partial differential equations integro-differential equations...
Journal Articles
Article Type: Technical Papers
J. Appl. Mech. December 2000, 67(4): 705–711.
Published Online: May 1, 2000
... the faces of a flat crack in an infinite space. The governing integro-differential equations of the problem are derived. It is found that exact expressions for the piezothermoelastic field for a penny-shaped crack subject to a uniform temperature can be obtained in terms of elementary functions. [S0021-8936...
Journal Articles
Article Type: Technical Papers
J. Appl. Mech. June 2000, 67(2): 383–390.
Published Online: April 9, 1999
... generalization of the fractional-order integration-differentiation in the sense of variability of the operator order, as well as definitions and techniques, are discussed. [S0021-8936(00)02102-4] mechanical contact integro-differential equations elasticity plasticity viscoelasticity elastoplasticity...