... , “ Non-Iterative Integration Methods With Desired Numerical Dissipation ,” International Conference on Structural Dynamic , pp. 1819 – 1826 . [21] Chang , S.-Y. , 2015 , “ Dissipative, Noniterative Integration Algorithms With Unconditional Stability for Mildly Nonlinear Structural Dynamic...

... 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...

... . 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...

... 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 June 20, 2018; published online August 1, 2018. Assoc. Editor: Firdaus Udwadia. 29 11 2017 20 06 2018 Aerospace applications Algorithms Algorithms Computational mechanics Stability Numerical Integration methods Integration methods Runge–Kutta methods...

... 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...

... 07 2017 29 08 2017 Algorithms Fractional calculus Integration methods During the last several decades, fractional calculus has been developed very quickly due to its various applications in fields of engineering, mechanics, physics, economics, and biology; see Refs. [ 1 – 9...

... Integration methods Dynamics Most mechanical systems are in static equilibrium when they are not in operation. The shape of a mechanical system in static equilibrium is termed a static configuration. A static configuration provides very important information that is used in static and dynamic...

... Numerical Integration methods Fractional derivatives (FDs) have shown promising potential in wide applications during the recent decades, due to its simplicity and accuracy in modeling problems arising in a variety of fields such as viscoelastic materials [ 1 , 2 ], soft matter [ 3 , 4 ], anomalous...

... 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 to describe accurately many fundamental problems in science...

... 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...

... 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 a standard practice in many fields of application...

... ], and the fractional-order hyperchaotic Chen system [ 12 ]. Algorithms Fractional calculus Design optimization Parameter estimation System identification Numerical Design sensitivity Nonlinear systems Integration methods 14 11 2017 06 03 2018 Contributed by the Design...

... 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...

... Computational kinematics Flexible-cody dynamics Parameter estimation System identification Numerical Dynamics Integration methods In the analysis of the machine tool spindle units, it is important to consider all components of the machine (see Ref. [ 1 ] for an overview). When simulating...

... 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...

..., 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 of a collection of n b rigid bodies interacting through friction...

.... 22 09 2016 07 09 2017 Algorithms Continuation Methods Fractional calculus Numerical Integration methods In the past few decades, fractional calculus has been used in several areas of science and engineering; see Refs. [ 1 – 7 ]. However, not all systems are best described...