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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
...] Elliott , D. , 1993 , “ An Asymptotic Analysis of Two Algorithms for Certain Hadamard Finite-Part Integrals ,” IMA J. Numer. Anal. , 13 ( 3 ), pp. 3273 – 3286 . 10.1093/imanum/13.3.445 [21] Samko , S. G. , Kilbas , A. A. , and Marichev , O. I. , 1993 , Fractional Integral...
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: 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
..., 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
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
...-evaluated in every time step of the simulation. Algorithms Flexible-cody dynamics Integration methods 28 05 2015 26 11 2015 At last, the accuracy of the proposed approach is estimated for the present example problem. For this purpose, both the time step size and the number...
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
... at the point when tangential velocity is zero, which will lead the integration algorithm to reduce the time-step size and seriously decrease the efficiency. in which c f is the friction coefficient, v T is the relative tangential velocity, and c d is a dynamic correction coefficient which can...
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
.../978-94-007-0335-3 [10] Wang , J. , and Li , Z. , 2015 , “ Implementation of HHT Algorithm for Numerical Integration of Multibody Dynamics With Holonomic Constraints ,” J. Nonlinear Dyn. , 80 ( 1–2 ), pp. 817 – 825 . 10.1007/s11071-015-1908-5 [11] Golub , G. , and van Loan...
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. November 2015, 10(6): 061011.
Paper No: CND-14-1135
Published Online: November 1, 2015
... for both, parameter identification and optimal control, and shows the potential of the adjoint method in solving classical optimization problems in multibody dynamics. Algorithms Flexible-cody dynamics Integration methods The adjoint method is probably the most efficient way to solve...
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
... 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
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
... 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 heat exchangers under cross-flow [ 2 , 3 ], feedback controller...
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
...Zhi Mao; Aiguo Xiao; Dongling Wang; Zuguo Yu; Long Shi References [1] Hairer , E. , Lubich , C. , and Wanner , G. , 2006 , Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations , 2nd ed. , Springer Series in Computational...