...Jinze Li; Kaiping Yu; Xiangyang Li In this paper, a novel generalized structure-dependent semi-explicit method is presented for solving dynamical problems. Some existing algorithms with the same displacement and velocity update formulas are included as the special cases, such as three Chang...

... in the J OURNAL OF C OMPUTATIONAL AND N ONLINEAR D YNAMICS . Manuscript received April 23, 2018; final manuscript received July 31, 2018; published online August 22, 2018. Assoc. Editor: Dumitru Baleanu. 23 04 2018 31 07 2018 Algorithms Fractional calculus Nonlinear dynamical...

... . 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...

... evolutionary algorithm (EA), the result is refined using multisection method (MSM). The schemes designed based on this procedure have better stability than the classical RK methods, strong stability RK methods (SSPRK), and low dispersive and dissipative RK methods (LDDRK) of the same number of stages. Authors...

...Staffan Björkenstam; Sigrid Leyendecker; Joachim Linn; Johan S. Carlson; Bengt Lennartson In this paper, we present efficient algorithms for computation of the residual of the constrained discrete Euler–Lagrange (DEL) equations of motion for tree structured, rigid multibody systems. In particular...

... but representative models were used to clearly demonstrate the features of the proposed DR method and to enable the reproducibility of the verification results. Algorithms Algorithms Computational kinematics Computational mechanics Multibody system dynamics Structural dynamics Vehicular dynamics Numerical...

... and the operational matrix of fractional derivative in the Caputo sense is obtained. Based on the FLWs, the operational matrix and the Tau method an efficient algorithm is developed for FNFIDEs. The FLWs basis leads to more efficient and accurate solutions of the FNFIDE than the integer-order Legendre wavelets...

...Q. X. Liu; J. K. Liu; Y. M. Chen This paper presents an accurate and efficient hybrid solution method, based on Newmark- β algorithm, for solving nonlinear oscillators containing fractional derivatives (FDs) of arbitrary order. Basically, this method employs a quadrature method and the Newmark- β...

... 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...

... in the J OURNAL OF C OMPUTATIONAL AND N ONLINEAR D YNAMICS . Manuscript received December 27, 2017; final manuscript received May 4, 2018; published online May 30, 2018. Assoc. Editor: Xiaobo Yang. 27 12 2017 04 05 2018 Algorithms Computational kinematics Non-smooth dynamics...

... 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...

.... Motivated by the basic particle swarm optimization and quantum mechanics theories, an improved quantum-behaved particle swarm optimization (IQPSO) algorithm is proposed to tackle this complex optimization problem. In this work, both systematic parameters and fractional derivative orders are regarded...

... 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...

... Division of ASME for publication in the J OURNAL OF C OMPUTATIONAL AND N ONLINEAR D YNAMICS . Manuscript received June 19, 2017; final manuscript received August 23, 2017; published online November 9, 2017. Assoc. Editor: Javier Cuadrado. 19 06 2017 23 08 2017 Algorithms...

... 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...

.../10652469308819027 [9] Bhrawy , A. H. , and Zaky , M. A. , 2016 , “ Numerical Algorithm for the Variable-Order Caputo Fractional Functional Differential Equation ,” Nonlinear Dyn. , 85 ( 3 ), pp. 1815 – 1823 . 10.1007/s11071-016-2797-y [10] Coimbra , C. F. M. , 2003 , “ Mechanics...

... replaced by u ( a , t ) = u ( b , t ) = 0 which are adopted in most situations. Now we establish a numerical algorithm for Eq. (6) with homogeneous boundary conditions, i.e., u ( a , t ) = u ( b , t ) = 0 . Let h = ( b − a ) / M...

... for publication in the J OURNAL OF C OMPUTATIONAL AND N ONLINEAR D YNAMICS . Manuscript received April 2, 2017; final manuscript received July 10, 2017; published online October 9, 2017. Assoc. Editor: Dumitru Baleanu. 02 04 2017 10 07 2017 Algorithms Algorithms Fractional calculus...