.... , and Yu , K. , 2018 , “ Noniterative Integration Algorithms With Controllable Numerical Dissipations for Structural Dynamics ,” Int. J. Comput. Methods , 15 (3), p. 1850111 . 10.1142/S0219876218501116 [20] Chang , S.-Y. , and Huang , C.-L. , 2014 , “ Non-Iterative Integration Methods...

... calculus Integration methods Fractional differential equations (FDEs) have drawn increasing attention and interest due to their important applications in various fields of science and engineering (see, for example, Refs. [ 1 – 7 ] and references therein). Distributed-order fractional derivatives...

... systems Nonlinear phenomena Numerical Integration methods Diffusion is a widespread physical phenomenon in nature. On micro scale, diffusion is caused by the Brownian motion of atoms or molecules that leads to complete mixing. While on macro level, it is described by the famous Fick's laws...

... . Manuscript received January 6, 2018; final manuscript received July 21, 2018; published online August 22, 2018. Assoc. Editor: Brian Feeny. 06 01 2018 21 07 2018 Algorithms Fractional calculus Nonlinear dynamical systems Numerical Integration methods Fractional differential...

... is able to give a good result with n  = 501, may be because of the numerical dispersion. With CD4 scheme, increase in CFL there is some range of CFL for which, a given time integration methods can able to give result and some range that is unable to give the result and so on, so specifying maximum CFL...

... Multibody system dynamics Nonlinear dynamical systems Design optimization Robotics Impact Contact Friction modeling Numerical Integration methods Bio-mechanical systems Biological systems Dynamics Stability of nonlinear systems Design sensitivity Nonlinear systems Mechanism systems...

... 18, 2017; final manuscript received August 29, 2017; published online July 26, 2018. Assoc. Editor: Dumitru Baleanu. 18 07 2017 29 08 2017 Algorithms Fractional calculus Integration methods During the last several decades, fractional calculus has been developed very...

... to conventional DR methods. Algorithms Algorithms Computational kinematics Computational mechanics Multibody system dynamics Structural dynamics Vehicular dynamics Numerical Integration methods Dynamics The number of time steps of each method differed on the basis of the step size, as shown...

... D YNAMICS . Manuscript received August 29, 2017; final manuscript received May 10, 2018; published online June 18, 2018. Assoc. Editor: Anindya Chatterjee. 29 08 2017 10 05 2018 Algorithms Fractional calculus Nonlinear dynamical systems Numerical Integration methods...

...; published online June 18, 2018. Assoc. Editor: Dumitru Baleanu. 08 12 2017 15 05 2018 Algorithms Fractional calculus Numerical Integration methods Recently, fractional calculus (FC), the theory of differentiation and integration to noninteger order, was recognized...

... YNAMICS . Manuscript received October 3, 2017; final manuscript received May 2, 2018; published online May 30, 2018. Assoc. Editor: Bogdan I. Epureanu. 03 10 2017 02 05 2018 Algorithms Experimental dynamics Numerical Integration methods Constructing a dynamic model from...

... Railroad dynamics Vehicular dynamics Numerical Dynamics Integration methods The dynamic behaviors of a railway vehicle subject to the guiding tracks possessing structural deformations have long been an interesting topic for researchers engaged in railway engineering. Though the topic...

... 2018 Aerospace applications Algorithms Computational mechanics Nonlinear oscillations Reduced-order models Structural dynamics Numerical Integration methods Vibration The use of finite element (FE)-based structural dynamic models to simulate structural response has become...

... 2018 Algorithms Fractional calculus Design optimization Parameter estimation System identification Numerical Design sensitivity Nonlinear systems Integration methods During the past decades, much attention has been drawn for the study of fractional calculus [ 1 ], which...

... 11 2017 Algorithms Chaotic dynamics Nonlinear dynamical systems Numerical Integration methods Recently, the chaotic behavior of fractional-order dynamic systems, appeared in several branches of science and engineering, has attracted growing attention of many researchers [ 1 – 4...

... manuscript received July 24, 2015; published online November 29, 2017. Assoc. Editor: D. Dane Quinn. 05 06 2014 24 07 2015 Algorithms Integration methods Parameter estimation is a very broad and complex research field. In general, it presents a high degree of difficulty...

...), it is efficient to create a model with a few degrees-of-freedom, which can be directly connected to the model of the tool and the workpiece. Algorithms Computational kinematics Flexible-cody dynamics Parameter estimation System identification Numerical Dynamics Integration methods 19 06...

... YNAMICS . Manuscript received March 6, 2017; final manuscript received August 17, 2017; published online November 9, 2017. Assoc. Editor: Bogdan I. Epureanu. 06 03 2017 17 08 2017 Algorithms Analytical solution systems Stability Numerical Symbolic solution systems Integration...

... manuscript received July 17, 2017; published online October 31, 2017. Assoc. Editor: Javier Cuadrado. 14 02 2017 17 07 2017 Algorithms Multibody system dynamics Non-smooth dynamics Impact Contact Friction modeling Numerical Integration methods The time-evolution...

... D YNAMICS . Manuscript received September 22, 2016; final manuscript received September 7, 2017; published online October 9, 2017. Assoc. Editor: Hiroshi Yabuno. 22 09 2016 07 09 2017 Algorithms Continuation Methods Fractional calculus Numerical Integration methods...