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Keywords: stability
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Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2024, 19(1): 011006.
Paper No: CND-23-1120
Published Online: December 1, 2023
... of modal coupling, the braking stability of the vehicle is also affected by other components. In this paper, different dynamic torsional models of braking system are established according to different braking conditions. Through numerical calculation, the influence of tire parameters, road conditions...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2024, 19(1): 011001.
Paper No: CND-22-1328
Published Online: October 26, 2023
... and its approximation. The local truncation error in the approximation is also calculated in this section. The implementation of the Crank–Nicolson scheme in the temporal direction and the use of central differences in the spatial direction is given in Sec. 3 . Detailed proof of the stability...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. December 2023, 18(12): 121002.
Paper No: CND-23-1050
Published Online: October 18, 2023
...Senol Kartal Two predator-prey model describing the guava borers and natural enemies are studied in this paper. Positivity, existence, and uniqueness of the solution, global and local stability analysis of the fixed points of the first model based on the Caputo fractional operator are studied...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. July 2023, 18(7): 071007.
Paper No: CND-22-1282
Published Online: May 25, 2023
... viral blips, with a saturating infection rate. We examine the interactions between the population densities of infected and uninfected CD4+ T cells by discussing the model's dynamics in the long run. The local asymptotic stability of fixed points of the model is investigated. The model undergoes both...
Journal Articles
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. April 2023, 18(4): 041006.
Paper No: CND-22-1218
Published Online: March 8, 2023
... and is unconditionally stable. The unconditional stability of the new scheme is proved by employing von Neumann stability analysis. For spatial discretization, a compact fourth-order accurate scheme is adopted. Moreover, a mathematical model for heat transfer of Darcy–Forchheimer flow of micropolar fluid is modified...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. April 2023, 18(4): 041001.
Paper No: CND-22-1176
Published Online: March 2, 2023
... Caputo derivative. A stability analysis of the linearized time-fractional Burgers' difference equation was also presented. All linearization strategies used to solve the proposed nonlinear problem are unconditionally stable. To support the theory, two numerical examples are considered. Furthermore...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2023, 18(1): 011003.
Paper No: CND-22-1134
Published Online: November 17, 2022
... on the nonlinear behavior of the brake system on the basis of the previous model of the brake pair. Through numerical simulation, it is concluded that the geometry size of the third body has great influence on the stability interval of the braking system. Finally, the influence of the third body particles...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. December 2022, 17(12): 121006.
Paper No: CND-22-1187
Published Online: October 28, 2022
...Zechang Zheng; Zhongrong Lu; Guang Liu; Yanmao Chen A twice harmonic balance (THB) method is proposed to compute and analyze quasi-periodic (QP) responses of nonlinear dynamical systems, with emphasis on the stability and bifurcation of QP responses. In the first harmonic balancing, the original...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. July 2022, 17(7): 071008.
Paper No: CND-21-1353
Published Online: May 24, 2022
... equations with the fractional Laplacian. 1 Corresponding author. e-mail:  yasir_maths@yahoo.com 13 11 2021 24 04 2022 24 05 2022 fractional scheme stability convergence mixed convection thermal radiations chemical reaction Engineering and mechanical sciences...
Journal Articles
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. June 2022, 17(6): 061004.
Paper No: CND-21-1273
Published Online: March 14, 2022
... impeller blades and linkages, and the measurement and processing time of the roll-sensing unit. The stability boundary of the system, in the parametric space of the control gain and the delay, is derived analytically from the characteristic equation of the linearized system. We show that the area...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. October 2021, 16(10): 101001.
Paper No: CND-20-1443
Published Online: August 11, 2021
... cables with some differences between their parameters can exhibit either softening or hardening characteristics. 17 11 2020 02 06 2021 11 08 2021 cable-stayed bridge internal resonance external resonance stability bifurcation National Natural Science Foundation...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. September 2021, 16(9): 091007.
Paper No: CND-20-1378
Published Online: July 27, 2021
...Shanti Swaroop Kandala; Thomas K. Uchida; C. P. Vyasarayani Many practical systems have inherent time delays that cannot be ignored; thus, their dynamics are described using delay differential equations (DDEs). The Galerkin approximation method is one strategy for studying the stability of time...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. November 2020, 15(11): 111005.
Paper No: CND-20-1078
Published Online: September 28, 2020
... of multiple delays on the local stability and Hopf bifurcation of the system are explored by selecting the sum of delays as bifurcation parameter and discussing the related characteristic equations. It is found that the dynamic behaviors of the system depend on the critical value of bifurcation. In addition...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. November 2020, 15(11): 111006.
Paper No: CND-20-1093
Published Online: September 28, 2020
... and can result in sudden and drastic loss of stability. This paper investigates the effects of noise processes on the stability of electrostatic MEMS via a lumped-mass model that accounts for uncertainty in mass, mechanical restoring force, bias voltage, and AC voltage amplitude. We evaluated...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. November 2020, 15(11): 111008.
Paper No: CND-20-1250
Published Online: September 28, 2020
...Surya Samukham; Thomas K. Uchida; C. P. Vyasarayani Many dynamic processes involve time delays, thus their dynamics are governed by delay differential equations (DDEs). Studying the stability of dynamic systems is critical, but analyzing the stability of time-delay systems is challenging because...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. April 2020, 15(4): 041003.
Paper No: CND-19-1266
Published Online: February 24, 2020
... to study the various responses of the system. The system is subjected to hard excitation and hence the subharmonic and superharmonic resonance conditions have been studied. The second-order method of multiple scales (MMS) has been used to find the response, stability, and bifurcations of the system...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2020, 15(1): 011003.
Paper No: CND-19-1126
Published Online: November 11, 2019
..., and metastructures. e-mail:  obarry@vt.edu 15 04 2019 14 10 2019 11 11 2019 midplane stretching nonlinear vibration absorber (NVA) perturbation methods nonlinear frequency stability ungrounded and grounded NVAs exact mode shapes loaded beam various boundary conditions...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. November 2019, 14(11): 111007.
Paper No: CND-19-1084
Published Online: September 23, 2019
... stability, existence, and direction of Neimark–Sacker bifurcation of the positive equilibrium point of the discrete system. It is observed that the discrete system shows much richer dynamic behaviors than its fractional-order form such as Neimark–Sacker bifurcation and chaos. Finally, numerical simulations...