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Keywords: probability
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Journal Articles
Article Type: Research Papers
J. Appl. Mech. March 2011, 78(2): 021011.
Published Online: November 9, 2010
...M. Eriten; A. A. Polycarpou; L. A. Bergman The effect of roughness on the frictional energy dissipation in fretting contact of nominally flat rough surfaces is studied. The contact is modeled as the statistical sum of asperity tip junctions. A mathematical analysis with a probability distribution...
Journal Articles
Article Type: Research Papers
J. Appl. Mech. May 2009, 76(3): 031002.
Published Online: March 5, 2009
.... This resulted in a solution for the probability density function (PDF) of the response, which was of an intermittent nature indeed due to the specific algorithm of its generation. In the present paper (Paper II), rapid broadband parameter variations are considered, which can be described by the theory of Markov...
Journal Articles
Article Type: Research Papers
J. Appl. Mech. January 2009, 76(1): 011007.
Published Online: October 31, 2008
... 20 06 2008 31 10 2008 buckling elasticity probability uncertain initial imperfection nonlinear buckling interval analysis convex modeling probabilistic method A central difficulty in most deterministic buckling analyses of imperfection sensitive structures...
Journal Articles
Article Type: Research Papers
J. Appl. Mech. July 2008, 75(4): 041018.
Published Online: May 16, 2008
... than R ( V 2 ) , then the analyst ought to utilize convex modeling. If V 1 equals V 2 or these two quantities are in close vicinity, then two approaches can be utilized with nearly equal validity. Some numerical examples are given to illustrate the efficacy of the proposed methodology. probability...
Journal Articles
Article Type: Research Papers
J. Appl. Mech. May 2008, 75(3): 031015.
Published Online: May 1, 2008
... of the probability density function is quite sharp and has a large peak value if it is obtained from the surface contacts under a normal load. The profile of the probability density function defined for the contact surface after elastic recovery is quite close to the profile before experiencing contact deformations...
Journal Articles
Article Type: Technical Papers
J. Appl. Mech. September 2007, 74(5): 885–897.
Published Online: November 3, 2006
... transformation of probability measures is proposed for nonlinear oscillators driven by additive white-noise processes. The nonlinear part of the drift vector is appropriately decomposed and replaced, resulting in an exactly solvable linear system. The error in replacing the nonlinear terms is then corrected...
Journal Articles
Article Type: Technical Papers
J. Appl. Mech. July 2007, 74(4): 603–613.
Published Online: April 19, 2006
... corresponding to a given mean separation. The topographies of a surface obtained from the theoretical prediction of different separations show the probability density function of asperity heights to be no longer the Gaussian distribution. Both the fractal dimension and the topothesy are elevated by increasing...
Journal Articles
Article Type: Technical Papers
J. Appl. Mech. July 2006, 73(4): 555–564.
Published Online: September 29, 2005
... stiffness parameters compared with their initial values corresponding to the undamaged structure. By using the proposed probabilistic methodology, the probability of various damage levels in each substructure can be calculated based on the available dynamic data. Examples using a single-degree-of-freedom...
Journal Articles
Article Type: Technical Briefs
J. Appl. Mech. July 2005, 72(4): 609–612.
Published Online: April 18, 2005
... grit SiC sandpaper under water coolant. The experiments were carried out on the Universal Testing Machine (Instron Model 4020, Canton, Mass.) at a crosshead speed of 0.01 mm ∕ min . A total of 34 specimens were used to obtain the experimental failure probability distribution. The fracture...
Journal Articles
Article Type: Technical Papers
J. Appl. Mech. September 2001, 68(5): 715–724.
Published Online: February 6, 2001
... of limit analysis and the methods of reliability theory, algorithms are developed for the computation of upper and lower bounds on the probability of plastic collapse. By varying the magnitude of the fixed load, bounds on the probability distribution function for the collapse load can be computed. Results...
Journal Articles
Article Type: Technical Papers
J. Appl. Mech. March 2001, 68(2): 176–185.
Published Online: September 7, 2000
... MECHANICS . 25 May 1998 07 Sept 2000 reliability vibrations inhomogeneous media stochastic processes probability bending The aim of this study is to find some closed-form solutions to the dynamic equation of a beam in which the Young’s modulus and the density both...
Journal Articles
Article Type: Technical Papers
J. Appl. Mech. September 2000, 67(3): 540–551.
Published Online: May 5, 2000
... of higher-order statistics involving the probability density functions of key system parameters, a reliable measure of the extent of variation of the system influence functions may be obtained. The use of measures of the identified quantities’ dispersion offers a practical method for quantifying...
Journal Articles
Article Type: Technical Papers
J. Appl. Mech. September 2000, 67(3): 472–484.
Published Online: February 29, 2000
... that are analyzed in probabilistic setting that deal with either uniform or generic probability density functions for the uncertain variables varying in a rectangular domain. This case has been compared with interval analysis, a particular case of anti-optimization. The presence of a convex, smooth boundary...