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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. November 2018, 13(11): 111003.
Paper No: CND-17-1454
Published Online: August 27, 2018
... in the J OURNAL OF C OMPUTATIONAL AND N ONLINEAR D YNAMICS . Manuscript received October 10, 2017; final manuscript received July 11, 2018; published online August 27, 2018. Assoc. Editor: Dumitru Baleanu. 10 10 2017 11 07 2018 Algorithms Computational mechanics Fractional...
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. September 2018, 13(9): 090905.
Paper No: CND-17-1317
Published Online: July 26, 2018
... 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...
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
... 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...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. May 2017, 12(3): 031001.
Paper No: CND-15-1140
Published Online: December 5, 2016
... OMPUTATIONAL AND N ONLINEAR D YNAMICS . Manuscript received May 24, 2015; final manuscript received September 18, 2016; published online December 5, 2016. Assoc. Editor: Zdravko Terze. 24 05 2015 18 09 2016 Algorithms Bio-Mechanical dynamics Flexible-cody dynamics Integration methods...
Journal Articles
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. November 2016, 11(6): 061014.
Paper No: CND-15-1114
Published Online: August 22, 2016
.... , Baranwal , V. K. , Pandey , R. K. , and Singh , O. P. , 2013 , “ A New Numerical Algorithm to Solve Fractional Differential Equations Based on Operational Matrix of Generalized Hat Functions ,” Commun. Nonlinear Sci. Numer. Simulat. , 18 ( 6 ), pp. 1327 – 1340 . 10.1016/j.cnsns.2012.10.014...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. November 2016, 11(6): 061002.
Paper No: CND-15-1388
Published Online: June 20, 2016
...M. A. Zaky; S. S. Ezz-Eldien; E. H. Doha; J. A. Tenreiro Machado; A. H. Bhrawy This paper derives a new operational matrix of the variable-order (VO) time fractional partial derivative involved in anomalous diffusion for shifted Chebyshev polynomials. We then develop an accurate numerical algorithm...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. July 2016, 11(4): 041018.
Paper No: CND-15-1145
Published Online: May 12, 2016
... ONLINEAR D YNAMICS . Manuscript received May 28, 2015; final manuscript received November 26, 2015; published online May 12, 2016. Assoc. Editor: Paramsothy Jayakumar. 28 05 2015 26 11 2015 Algorithms Flexible-cody dynamics Integration methods Complex mechanical systems...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. September 2016, 11(5): 051001.
Paper No: CND-15-1045
Published Online: February 3, 2016
... Kovecses. 12 02 2015 01 12 2015 Algorithms Integration methods Dynamic equations of a multibody system are often solved using index-1 general-purpose integration formulae and solvers. Ordinary differential equations require the evaluation of the derivatives of the state...
Journal Articles
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2016, 11(1): 011009.
Paper No: CND-14-1279
Published Online: January 1, 2016
... the independent and interactive influences of the two joints with clearances on the wear are investigated in this paper. The relation equations of the two clearances obtained in this work will significantly decrease the wear of the two clearance joints. Algorithms Design optimization Impact Non-smooth...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. July 2016, 11(4): 041005.
Paper No: CND-15-1146
Published Online: November 13, 2015
... with a symbolic computation-free algorithm. Furthermore, all linear operations on Fourier basis vectors including fractional order derivative operators and time-delayed operators for a linear FPTD system are obtained. This technique is illustrated with parametrically excited simple and double pendulum systems...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. July 2016, 11(4): 041003.
Paper No: CND-15-1075
Published Online: November 13, 2015
...; final manuscript received September 11, 2015; published online November 13, 2015. Assoc. Editor: Sotirios Natsiavas. 23 03 2015 11 09 2015 Algorithms Flexible-cody dynamics Integration methods Static and dynamic instabilities, such as divergence, flutter, or buckling...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. November 2015, 10(6): 061024.
Paper No: CND-14-1269
Published Online: November 1, 2015
.... The theory developed in this work can also be used for the integration of DIDEs. The computational complexity of our numerical integration method is O ( t ) , whereas the direct brute-force integration of DIDE has a computational complexity of O ( t 2 ) . Algorithms...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. November 2015, 10(6): 061011.
Paper No: CND-14-1135
Published Online: November 1, 2015
... Equations ,” Comput. Chem. Eng. , 30 ( 10–12 ), pp. 1553 – 1559 . 10.1016/j.compchemeng.2006.05.015 [18] Cao , Y. , Li , S. , and Petzold , L. , 2002 , “ Adjoint Sensitivity Analysis for Differential-Algebraic Equations: Algorithms and Software ,” J. Comput. Appl. Math. , 149 ( 1...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. November 2015, 10(6): 061005.
Paper No: CND-14-1095
Published Online: November 1, 2015
... and renders this approach can be accurately applied to general composite material beams. The elastic line approach (ELA) in the absolute nodal coordinate formulation (ANCF) can be derived from the current formulation. Algorithms Flexible-cody dynamics Integration methods Simulations...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. September 2015, 10(5): 051009.
Paper No: CND-14-1119
Published Online: September 1, 2015
... convergence of the method. Algorithms Integration methods Many physical problems can be attributed to find a functional extremum. The usual method for the variation problems is to solve the corresponding Euler–Lagrange equations or Hamilton equations [ 1 , 2 ]. In 1996, Riewe [ 3 ] considered...