...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...

... . 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...

... 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...

... 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...

.... First, conventional DR methods require the calculation of the fictitious mass matrix for the stability of the algorithm. The fictitious mass matrix can be calculated from the actual stiffness matrix, and there are many calculation methods according to Ref. [ 2 ]. However, finding a suitable method...

...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...

... 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...

... neighbor algorithm proposed in Ref. [ 23 ]. However, there are accuracy and runtime tradeoffs inherent in such algorithms that are beyond the scope of this work. Throughout this paper, estimates of causation entropy are presented for various example time series data. These estimates are generated...

... 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...

... November 2, 2016; final manuscript received November 1, 2017; published online December 7, 2017. Assoc. Editor: Firdaus Udwadia. 02 11 2016 01 11 2017 Algorithms Chaotic dynamics Nonlinear dynamical systems Numerical Integration methods Recently, the chaotic behavior...

... 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...

... ) Fig. 14 Convergence of the stiffness values during the iteration starting from k 0  =  k * Fig. 13 Reduction of the cost function during the iteration starting from k 0  =  k * By computing the algorithm of Sec. 4.2 from k 0 = k * , the procedure converges...

... ] ;     A 3 ( λ ) = [   0     0 − b 2     0 ]     (37) f 1 ( t ) = 1 ;   f 2 ( t ) = cos   1.0031058 t ;   f 3 ( t ) = cos   1.6161149 t Algorithms Analytical solution systems Stability...

... 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...

... and Differentiation to a Variable Fractional Order ,” Integr. Transfer Spec. Funct. , 1 ( 4 ), pp. 277 – 300 . 10.1080/10652469308819027 [9] Bhrawy , A. H. , and Zaky , M. A. , 2016 , “ Numerical Algorithm for the Variable-Order Caputo Fractional Functional Differential Equation ,” Nonlinear Dyn...

.... 21 11 2016 18 07 2017 Algorithms Fractional calculus Integration methods Fractional calculus has many applications both in mechanics and engineering due to the hereditary and/or viscoelastic features in dynamic problems [ 1 – 4 ]. The corresponding numerical algorithms...

... and comparing our method with other methods demonstrate the high accuracy and powerful of the present approach. Algorithms Algorithms Fractional calculus Numerical Integration methods Fractional calculus deals with the generalization of classical derivatives and integrals to an arbitrary real...