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Keywords: Algorithms
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Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. November 2018, 13(11): 111008.
Paper No: CND-18-1216
Published Online: September 12, 2018
...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...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. October 2018, 13(10): 101007.
Paper No: CND-18-1007
Published Online: August 22, 2018
... . 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 The main contribution...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. October 2018, 13(10): 101010.
Paper No: CND-18-1183
Published Online: August 22, 2018
.... , 2018 , “ A New Numerical Algorithm for Fractional Fitzhugh-Nagumo Equation Arising in Transmission of Nerve Impulses ,” Nonlinear Dyn. , 91 ( 1 ), pp. 307 – 317 . 10.1007/s11071-017-3870-x [12] Singh , J. , Kumar , D. , Baleanu , D. , and Rathore , S. , 2018 , “ An Efficient...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. October 2018, 13(10): 101003.
Paper No: CND-17-1527
Published Online: August 1, 2018
... 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...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. October 2018, 13(10): 101001.
Paper No: CND-18-1012
Published Online: July 30, 2018
...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...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. August 2018, 13(8): 081006.
Paper No: CND-17-1300
Published Online: July 6, 2018
... model at node 10 Dynamic relaxation is widely used for static equilibrium analysis. However, conventional DR methods require the calculation of a fictitious mass matrix to maintain the stability of the algorithm, and it is necessary to select a suitable calculation method for stable...
Journal Articles
Publisher: ASME
Article Type: Technical Briefs
J. Comput. Nonlinear Dynam. August 2018, 13(8): 084501.
Paper No: CND-17-1391
Published Online: June 18, 2018
...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...
Topics: Algorithms
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. August 2018, 13(8): 081002.
Paper No: CND-17-1555
Published Online: June 18, 2018
... 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...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. July 2018, 13(7): 071005.
Paper No: CND-17-1442
Published Online: May 30, 2018
... 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...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. July 2018, 13(7): 071006.
Paper No: CND-17-1579
Published Online: May 30, 2018
... to be linear springs and dashpots; moreover, the track slabs are modeled as thin-plate elements, which are connected to the subgrade through the cement asphalt mortar (CA mortar) layer that are regarded as continuous plane springs and dashpots. Algorithms Computational kinematics Non-smooth dynamics...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. July 2018, 13(7): 071003.
Paper No: CND-17-1462
Published Online: May 28, 2018
... } An optimally sparse solution to ( P 1 ) is NP-hard to obtain. However, a greedy-approach-based algorithm [ 22 ], which finds a suboptimal solution, has been found to deliver an effective reduced mesh E [ 2 ]. For the sake of completeness, we have included its pseudo-code in Algorithm 1, where...
Journal Articles
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. February 2018, 13(2): 021013.
Paper No: CND-16-1533
Published Online: December 7, 2017
... 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...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. February 2018, 13(2): 021012.
Paper No: CND-14-1146
Published Online: November 29, 2017
... 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...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. February 2018, 13(2): 021008.
Paper No: CND-17-1104
Published Online: November 9, 2017
... 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...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. February 2018, 13(2): 021009.
Paper No: CND-17-1270
Published Online: November 9, 2017
... 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 Computational kinematics Flexible...
Journal Articles
Publisher: ASME
Article Type: Technical Briefs
J. Comput. Nonlinear Dynam. January 2018, 13(1): 014503.
Paper No: CND-17-1068
Published Online: October 31, 2017
..., 2017; final 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...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2018, 13(1): 011004.
Paper No: CND-16-1572
Published Online: October 9, 2017
.... 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...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2018, 13(1): 011010.
Paper No: CND-17-1146
Published Online: October 9, 2017
... FOCPs and FVPs. In the presented algorithm, we expanded the state variable x ( t ) in terms of shifted Jacobi orthonormal polynomials and used the Legendre–Gauss–Lobatto quadrature relation together with the Lagrange multiplier method to get a system of algebraic equations. The main advantage...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2018, 13(1): 011007.
Paper No: CND-17-1021
Published Online: October 9, 2017
... AND N ONLINEAR D YNAMICS . Manuscript received January 8, 2017; final manuscript received July 1, 2017; published online October 9, 2017. Assoc. Editor: Dan Negrut. 08 01 2017 01 07 2017 Algorithms Computational mechanics Nonlinear phenomena Numerical Integration methods...