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Keywords: bifurcation
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Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. June 2022, 89(6): 061003.
Paper No: JAM-21-1492
Published Online: March 16, 2022
... theory (Cerda and Mahadevan, 2003), have been successfully used in predicting the location and pattern of wrinkling and defining critical conditions for its onset, but they have failed to describe the post-buckling behaviors (i.e., bifurcations, increasing wavenumber, and corresponding changes...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Appl. Mech. August 2018, 85(8): 081007.
Paper No: JAM-18-1110
Published Online: June 1, 2018
.... The perturbed bifurcation analysis and the branch switching technique work well for the post-buckling response of sandwich panels. A good agreement between these two methods is observed. Due to the interaction of different layers and high divergence in material properties, localized effects may be initiated...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Appl. Mech. September 2013, 80(5): 051010.
Paper No: JAM-12-1190
Published Online: July 12, 2013
... emphasis is given for the frequency ratio value of 0.9 as many interesting features could be revealed. The cascade shows a bifurcation from bending flutter to the torsional one signifying that only one of the flutter modes are favored at any instant in time. The torsional flutter is found...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. May 2012, 79(3): 031019.
Published Online: April 5, 2012
... of a traction-free homogeneous substrate to very stiff films on compliant substrates. The role of substrate prestretch is considered wherein an unstretched film is bonded to a prestretched substrate with wrinkling arising as the stretch in the substrate is relaxed. An exact bifurcation analysis reveals...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. November 2011, 78(6): 061021.
Published Online: September 15, 2011
... in a parameter plane where attracting fixed points of the phase functions exist. The period-1 instability regions are analytically obtained, and the period-i ( i > 1 ) instability regions are numerically calculated using bifurcation diagrams. The wave patterns corresponding to different instability regions...
Journal Articles
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. November 2010, 77(6): 061001.
Published Online: August 16, 2010
... speed along an ideal, rigid, straight, and perfect track are formulated, and the lateral bifurcation behavior of the vehicle system is investigated numerically. The results indicate that both stable and unstable orbits are obtained, and the linear and nonlinear critical speeds are determined as well...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. May 2010, 77(3): 031006.
Published Online: February 4, 2010
... to a symmetric configuration in contact with the point constraint. As the pushing force increases, a symmetry-breaking bifurcation occurs and the elastica evolves to one of a pair of asymmetric deformations. As the pushing force continues to increase, the asymmetric deformation experiences a second jump...
Journal Articles
Publisher: ASME
Article Type: Technical Briefs
J. Appl. Mech. May 2009, 76(3): 034502.
Published Online: March 13, 2009
... including velocity field, temperature field, bifurcations, and thermal criticality conditions are discussed. 17 01 2008 27 01 2009 13 03 2009 bifurcation chemically reactive flow convection cooling non-Newtonian flow pipe flow cylindrical pipe third-grade fluid Arrhenius...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. November 2008, 75(6): 061007.
Published Online: August 20, 2008
... and external pressures, and torsion). Similar to the conventional shells, carbon nanotubes may undergo bifurcation under compression/torsion/external pressure. Our analysis, however, shows that carbon nanotubes may also undergo bifurcation in tension and internal pressure, though the bifurcation modes...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. March 2008, 75(2): 021016.
Published Online: February 26, 2008
...Alexei A. Mailybaev; Alexander P. Seyranian Bifurcations of equilibria at bimodal branching points in potential systems are investigated. General formulas describing postbuckling paths and conditions for their stability are derived in terms of the original potential energy. Formulas describing...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. January 2008, 75(1): 011021.
Published Online: February 6, 2008
... is produced which is exhibited by a traveling acoustic wave around this annulus. We show that this response can be controlled passively by spatial perturbation in the symmetry of acoustic parameters. We find the critical parameter values that affect this oscillation, study the bifurcation properties...
Journal Articles
Publisher: ASME
Article Type: Technical Briefs
J. Appl. Mech. January 2008, 75(1): 014502.
Published Online: January 14, 2008
... and the corrective role of its imaginary part on the shape of the bifurcation line, on its maximum and on the disposition of the inflection and maximal deflection points on the centerline of the deformed rod during the secondary loss of stability, are discussed. 01 02 2007 22 03 2007 14 01 2008...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. January 2008, 75(1): 011002.
Published Online: December 27, 2007
...Leonid M. Zubov; Denis N. Sheidakov Background . Many papers on the elastic stability of both thin-walled and massive (three-dimensional) bodies regard the bifurcation of equilibrium in the case of compressive loads. Although, the elastic instability may also occur under tensile stresses. Method...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. November 2007, 74(6): 1212–1224.
Published Online: April 27, 2007
... that there exists a bifurcation in critical speed. One branch of critical speed increases as load frequency increases, while the other branch of critical speed decreases as load frequency increases. There are two critical speeds when the load frequency is low, but only one critical speed exists when the load...
Journal Articles
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. November 2006, 73(6): 1026–1030.
Published Online: April 6, 2006
...G. Etse; S. M. Vrech In this work the geometrical method for the assessment of discontinuous bifurcation conditions is extended to encompass gradient-dependent plasticity. To this end, the gradient-dependent localization condition is cast in the form of an elliptical envelope condition...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. November 2006, 73(6): 1039–1044.
Published Online: April 6, 2006
... in these regimes are redefined to include the dependency on the suction. The paper illustrates the predictive capability of the extended MRS Lade model for partially saturated soils. Finally, the condition for discontinuous bifurcation in elastoplastic partially saturated porous media as well as the localized...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. July 2007, 74(4): 645–657.
Published Online: February 6, 2006
.... Complex nonlinear dynamics is also investigated by using bifurcation diagrams from direct time integration and calculation of the Lyapunov exponents and the Lyapunov dimension. Interesting phenomena such as (i) subharmonic response; (ii) period doubling bifurcations; (iii) chaotic behavior; and (iv) hyper...
Journal Articles
Publisher: ASME
Article Type: Technical Briefs
J. Appl. Mech. May 2007, 74(3): 595–598.
Published Online: October 5, 2005
... that describes the generic unfolding of this critical state and its associated bifurcations. In particular, the system can describe how two equilibria coalesce in a saddle-node bifurcation and generalizes stability criteria that have been presented previously in the literature for this model. Moreover...