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Keywords: chaos
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Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. February 2024, 91(2): 021010.
Paper No: JAM-23-1370
Published Online: December 21, 2023
... of bistable arches for future developments of multistable mechanical metamaterials. bistable arches nonlinear dynamics parameter space chaos National Science Foundation 10.13039/100000001 NSF CAREER Award (CMMI - 2239841) U.S. Department of Defense 10.13039/100000005 NDSEG...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. November 2010, 77(6): 061001.
Published Online: August 16, 2010
... 2010 16 08 2010 bifurcation chaos creep flanges railways vehicle dynamics four-axle railway passenger car bifurcation critical speed asymmetry chaos The lateral stability and bifurcation behavior of railway vehicles are fascinating topics in nonlinear mathematics...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. March 2008, 75(2): 021011.
Published Online: February 25, 2008
... simplicity in synchronizing these mechanical systems are illustrated by two numerical examples, the first dealing with a system of three different gyros, the second with five different ones. 13 07 2006 04 07 2007 25 02 2008 chaos gyroscopes nonlinear dynamical systems...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. July 2007, 74(4): 645–657.
Published Online: February 6, 2006
...-chaos with four positive Lyapunov exponents have been observed. Reissner , E. , 1955 , “ Nonlinear Effects in Vibrations of Cylindrical Shells ,” Ramo-Wooldridge Corporation, Rep. No. AM5-6. Grigolyuk , E. I. , 1955 , “ Vibrations of Circular Cylindrical Panels Subjected to Finite...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. March 2006, 73(2): 240–245.
Published Online: July 7, 2005
... processes, whose examination is the subject of “chaos theory.” In the case of stable processes, evenly deformed chips of constant thickness, called continuous chips are produced (see Fig. 2a ), which is significant because we have reliable knowledge about these processes owing to the several decades...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. July 2005, 72(4): 511–518.
Published Online: April 8, 2005
...Alberto Carpinteri; Nicola Pugno The aim of the present paper is to evaluate the complex oscillatory behavior, i.e., the transition toward deterministic chaos, in damaged nonlinear structures under excitation. In the present paper (Part I), we show the developed theoretical approach and how...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. July 2005, 72(4): 519–526.
Published Online: April 8, 2005
...Alberto Carpinteri; Nicola Pugno The aim of the present paper is to evaluate the complex oscillatory behavior, i.e., the transition to chaos, in damaged nonlinear structures under excitation. In the present paper, Part II , we apply the theoretical approach described in Part I to perform...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. September 2003, 70(5): 732–738.
Published Online: October 10, 2003
...-Verlag, New York. Wiggins, S., 1990, Introduction to Applied Nonlinear Dynamical Systems and Chaos , Springer-Verlag, New York. Holmes , P. J. , and Marsden , J. E. , 1981 , “ A Partial Differential Equation With Infinitely Many Periodic Orbits: Chaotic Oscillations of a Forced Beam...
Journal Articles
Publisher: ASME
Article Type: Brief Notes
J. Appl. Mech. July 2001, 68(4): 681–684.
Published Online: February 25, 2001
... is investigated through numerical integration in conjunction with Poincare´ map. It is shown that as the spin velocity increases, the chaotic motion turns into a regular motion. gyroscopes chaos angular velocity nonlinear dynamical systems In recent years, several researchers have conducted studies...
Journal Articles
Publisher: ASME
Article Type: Brief Notes
J. Appl. Mech. July 2001, 68(4): 670–674.
Published Online: December 5, 2000
...G. L. Wen and; J. H. Xie A nontypical route to chaos of a two-degree-of-freedom vibro-impact system is investigated. That is, the period-doubling bifurcations, and then the system turns out to the stable quasi-periodic response while the period 4-4 impact motion fails to be stable. Finally...