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Keywords: Algorithms
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Journal Articles
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
Article Type: Research-Article
J. Comput. Nonlinear Dynam. November 2018, 13(11): 111003.
Paper No: CND-17-1454
Published Online: August 27, 2018
... received July 11, 2018; published online August 27, 2018. Assoc. Editor: Dumitru Baleanu. 10 10 2017 11 07 2018 Algorithms Computational mechanics Fractional calculus Integration methods Fractional differential equations (FDEs) have drawn increasing attention and interest...
Journal Articles
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
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
Article Type: Research-Article
J. Comput. Nonlinear Dynam. September 2018, 13(9): 090905.
Paper No: CND-17-1317
Published Online: July 26, 2018
... 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 ]. It is known that there have existed...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. August 2018, 13(8): 081006.
Paper No: CND-17-1300
Published Online: July 6, 2018
.... 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...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. May 2017, 12(3): 031001.
Paper No: CND-15-1140
Published Online: December 5, 2016
... in the configuration of the DNA over a single simulation time-step is computed using a second-order algorithm [ 22 ] which updates the vertex positions ( r i ) and segment orientations ( ϕ i ) at each time-step. This algorithm is an improved adaptation of the algorithm developed by Ermak and McCammon...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2017, 12(1): 011020.
Paper No: CND-16-1383
Published Online: November 22, 2016
... received September 27, 2016; published online November 22, 2016. Assoc. Editor: Paramsothy Jayakumar. 15 08 2016 27 09 2016 Algorithms Algorithms Computational kinematics Multibody system dynamics Real-time dynamics simulation Numerical Integration methods Dynamics Dynamics...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. November 2016, 11(6): 061014.
Paper No: CND-15-1114
Published Online: August 22, 2016
..., 2016; published online August 22, 2016. Assoc. Editor: Hiroshi Yabuno. 28 04 2015 14 07 2016 Algorithms Integration methods Fractional differential equations (FDEs) have attracted increasing attention [ 1 – 3 ] because they have applications in various fields of science...
Journal Articles
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
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
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
Article Type: Research-Article
J. Comput. Nonlinear Dynam. September 2016, 11(5): 051004.
Paper No: CND-15-1139
Published Online: February 3, 2016
.... 23 05 2015 27 12 2015 Algorithms Design optimization Dynamical analysis Integration methods Dynamical method The filling stage of ICM process is broken into two distinct physical phases. The injection phase is the same as CIM. Due to uniform pressure fields and gapwise...
Journal Articles
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
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
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
Article Type: Research-Article
J. Comput. Nonlinear Dynam. November 2015, 10(6): 061024.
Paper No: CND-14-1269
Published Online: November 1, 2015
... numerical integration method is O ( t ) , whereas the direct brute-force integration of DIDE has a computational complexity of O ( t 2 ) . Algorithms Stability Integration methods DDEs have applications in the modeling of machining processes [ 1 ], designing...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. November 2015, 10(6): 061011.
Paper No: CND-14-1135
Published Online: November 1, 2015
... dynamics. Algorithms Flexible-cody dynamics Integration methods The adjoint method is probably the most efficient way to solve a variety of optimization problems in engineering sciences. Much attention to this approach has been paid recently in the context of continuous systems...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. November 2015, 10(6): 061005.
Paper No: CND-14-1095
Published Online: November 1, 2015
... 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 of dynamics of beams...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. September 2015, 10(5): 051009.
Paper No: CND-14-1119
Published Online: September 1, 2015
... leads to exponential decay of the errors, which is superior to the existing methods in the literature. The fractional variational errors are discussed. Numerical examples are given to illustrate the exponential convergence of the method. Algorithms Integration methods Many physical...