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Keywords: Numerical
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Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. July 2023, 18(7): 071006.
Paper No: CND-22-1321
Published Online: April 21, 2023
.... This family of problems covers several linear fractional difference equations that appear in the literature. Numerical examples are given to justify our theory. 1 Corresponding author. 18 11 2022 04 04 2023 21 04 2023 forward operator discrete fractional non-autonomous...
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
... algorithms. In general, the proposed method is shown to be second-order accurate and unconditionally stable for linear elastic and stiffness softening systems. The comprehensive stability and accuracy analysis, including numerical dispersion, energy dissipation, and the overshoot behavior, are carried out...
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
... equation, we verify that the solution of such model may not be globally well-defined, and the dynamics of this model depends on the order of fractional derivative and the volume of spatial domain. In simulation, a finite difference scheme is implemented and interesting numerical solutions of model...
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
...M. A. Zaky; E. H. Doha; J. A. Tenreiro Machado In this paper, we construct and analyze a Legendre spectral-collocation method for the numerical solution of distributed-order fractional initial value problems. We first introduce three-term recurrence relations for the fractional integrals...
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
... 25.6907 RK3 low storage 1.33 26.104 HRK31 1.33 26.1174 HRK42 2.83 26.5724 RK4 classical 1.17 29.1903 HRK41 2.19 26.4474 Numerical dissipation ( ϵ D ) is a function of Δ x , CFL, Δ t and discretization used. All the values tabulated in Table 2...
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
... Multibody system dynamics Nonlinear dynamical systems Design optimization Robotics Impact Contact Friction modeling Numerical Integration methods Bio-mechanical systems Biological systems Dynamics Stability of nonlinear systems Design sensitivity Nonlinear systems Mechanism systems...
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
... fictitious damping is applied. Conventional DR methods use a fictitious mass matrix to increase the fictitious damping while maintaining numerical stability. There are many calculation methods for the fictitious mass matrix; however, it is difficult to select the appropriate method. In addition...
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
... algorithm to handle FDs and integer derivatives, respectively. To reduce the computational burden, the proposed approach provides a strategy to avoid nonlinear algebraic equations arising routinely in the Newmark- β algorithm. Numerical results show that the presented method has second-order accuracy...
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
.... Numerical examples confirm the superior accuracy of the proposed method. D efinition 1. The Riemann–Liouville fractional integration of order ν ≥ 0 is defined as ( I ν f ) ( t ) = { 1 Γ ( ν ) ∫ 0 t ( t − τ ) ν − 1 f ( τ ) d τ...
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
... a relatively large time integral step with numerical stability in computations. By simplifying into a linearized model, pseudo-excitation method (PEM) can be theoretically implemented to characterize the dominant vibration frequencies of vehicle-track systems due to random excitations. Finally, a trail method...
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
...; 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 the observed data can be quite difficult for many complex engineered systems. This process...
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
.... , and Cortial , J. , 2014 , “ Dimensional Reduction of Nonlinear Finite Element Dynamic Models With Finite Rotations and Energy-Based Mesh Sampling and Weighting for Computational Efficiency ,” Int. J. Numer. Methods Eng. , 98 ( 9 ), pp. 625 – 662 . 10.1002/nme.4668 [3] Chaturantabut , S...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. May 2018, 13(5): 051004.
Paper No: CND-17-1500
Published Online: March 28, 2018
... as independent unknown parameters to be identified. Numerical simulations are conducted to identify two typical incommensurate fractional-order chaotic systems. Simulation results and comparisons analyses demonstrate that the proposed method is suitable for parameter identification with advantages of high...
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
... of view, the stability analysis and chaotic behavior of three novel fractional systems are provided by the proposed approach. Numerical simulations and comparative results confirm that this scheme is also successful for the fractional chaotic systems with delay arguments. 1 Corresponding author...
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
...-node beam element was introduced with a single translational degree-of-freedom. The stiffness matrix of this kind of element can be expressed by a single stiffness parameter. By connecting a few of these elements, a low degree-of-freedom model of rotors was created, which avoids some numerical...
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
... and applied to three typical quasi-periodic systems. The approximate boundaries in stability charts obtained from the proposed method are very close to the exact boundaries of original quasi-periodic equations computed numerically using maximal Lyapunov exponents. Further, the frequency spectra of solutions...
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
... level, is further modified via a “relaxation term” to morph what would otherwise be a nonlinear complementarity problem into a cone complementarity problem. The latter has a solution that is produced by solving of a convex quadratic optimization problem with conic constraints. The same numerical method...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2018, 13(1): 011001.
Paper No: CND-16-1450
Published Online: October 9, 2017
...A. M. Nagy; N. H. Sweilam; Adel A. El-Sayed The multiterm fractional variable-order differential equation has a massive application in physics and engineering problems. Therefore, a numerical method is presented to solve a class of variable order fractional differential equations (FDEs) based...
Journal Articles
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
..., with a boundary condition in the infinite that describes the unsteady isothermal flow of a gas through a semi-infinite micro–nano porous medium and has widely used in the chemical industries. In this paper, a hybrid numerical method is introduced for solving this equation. First, by using the method of quasi...