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Keywords: Integration methods
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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
... Structural dynamics Numerical Integration methods Direct integration algorithms are widely used to solve the numerical responses in the computational analysis of structural dynamics. Some well-known direct integration algorithms have been proposed including the Newmark- β family [ 1 ], Wilson- θ...
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
... calculus Integration methods Fractional differential equations (FDEs) have drawn increasing attention and interest due to their important applications in various fields of science and engineering (see, for example, Refs. [ 1 – 7 ] and references therein). Distributed-order fractional derivatives...
Journal Articles
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 Fractional differential...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. October 2018, 13(10): 101010.
Paper No: CND-18-1183
Published Online: August 22, 2018
... systems Nonlinear phenomena Numerical Integration methods Diffusion is a widespread physical phenomenon in nature. On micro scale, diffusion is caused by the Brownian motion of atoms or molecules that leads to complete mixing. While on macro level, it is described by the famous Fick's laws...
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
... manuscript received June 20, 2018; published online August 1, 2018. Assoc. Editor: Firdaus Udwadia. 29 11 2017 20 06 2018 Aerospace applications Algorithms Algorithms Computational mechanics Stability Numerical Integration methods Integration methods Runge–Kutta methods...
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
... 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
Article Type: Research-Article
J. Comput. Nonlinear Dynam. September 2018, 13(9): 090905.
Paper No: CND-17-1317
Published Online: July 26, 2018
... 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
Article Type: Research-Article
J. Comput. Nonlinear Dynam. August 2018, 13(8): 081006.
Paper No: CND-17-1300
Published Online: July 6, 2018
.... As mentioned earlier, DR uses a time integration method to solve an artificially damped dynamic system. However, there are several types of time integration methods (e.g., Euler, central finite difference, trapezoidal, Runge–Kutta, and generalized- α [ 8 ]). It is obvious that the integrator type influences...
Journal Articles
Article Type: Technical Briefs
J. Comput. Nonlinear Dynam. August 2018, 13(8): 084501.
Paper No: CND-17-1391
Published Online: June 18, 2018
... YNAMICS . Manuscript received August 29, 2017; final manuscript received May 10, 2018; published online June 18, 2018. Assoc. Editor: Anindya Chatterjee. 29 08 2017 10 05 2018 Algorithms Fractional calculus Nonlinear dynamical systems Numerical Integration methods...
Topics: Algorithms
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. August 2018, 13(8): 081002.
Paper No: CND-17-1555
Published Online: June 18, 2018
... 15, 2018; published online June 18, 2018. Assoc. Editor: Dumitru Baleanu. 08 12 2017 15 05 2018 Algorithms Fractional calculus Numerical Integration methods Recently, fractional calculus (FC), the theory of differentiation and integration to noninteger order...
Journal Articles
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
Article Type: Research-Article
J. Comput. Nonlinear Dynam. July 2018, 13(7): 071006.
Paper No: CND-17-1579
Published Online: May 30, 2018
... Railroad dynamics Vehicular dynamics Numerical Dynamics Integration methods The dynamic behaviors of a railway vehicle subject to the guiding tracks possessing structural deformations have long been an interesting topic for researchers engaged in railway engineering. Though the topic...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. July 2018, 13(7): 071003.
Paper No: CND-17-1462
Published Online: May 28, 2018
... Algorithms Computational mechanics Nonlinear oscillations Reduced-order models Structural dynamics Numerical Integration methods Vibration The use of finite element (FE)-based structural dynamic models to simulate structural response has become a standard practice in many fields of application...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. May 2018, 13(5): 051004.
Paper No: CND-17-1500
Published Online: March 28, 2018
.... 14 11 2017 06 03 2018 Algorithms Fractional calculus Design optimization Parameter estimation System identification Numerical Design sensitivity Nonlinear systems Integration methods During the past decades, much attention has been drawn for the study of fractional...
Journal Articles
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
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
Article Type: Research-Article
J. Comput. Nonlinear Dynam. February 2018, 13(2): 021009.
Paper No: CND-17-1270
Published Online: November 9, 2017
... Computational kinematics Flexible-cody dynamics Parameter estimation System identification Numerical Dynamics Integration methods In the analysis of the machine tool spindle units, it is important to consider all components of the machine (see Ref. [ 1 ] for an overview). When simulating...
Journal Articles
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
Article Type: Technical Briefs
J. Comput. Nonlinear Dynam. January 2018, 13(1): 014503.
Paper No: CND-17-1068
Published Online: October 31, 2017
... Stabilization for Differential Algebraic Equations ,” Real-Time Integration Methods for Mechanical System Simulation (Nato ASI Subseries F:), Springer-Verlag , Berlin , pp. 193 – 207 . [5] Ascher , U. M. , Chin , H. , and Reich , S. , 1994 , “ Stabilization of DAEs and Invariant Manifolds...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2018, 13(1): 011001.
Paper No: CND-16-1450
Published Online: October 9, 2017
... manuscript received September 7, 2017; published online October 9, 2017. Assoc. Editor: Hiroshi Yabuno. 22 09 2016 07 09 2017 Algorithms Continuation Methods Fractional calculus Numerical Integration methods In the past few decades, fractional calculus has been used...