Publications

Journal Articles

In Preparation

1. Sharma, A., “Analysis of Nonlinear Quasi-Periodic Systems in the Critical Case.”

Published

1. Sharma, A., “A Simple Technique for the Analysis of Systems with Strong Parametric Excitations,” ASME Journal of Computational and Nonlinear Dynamics. [Accepted]

2. Sharma, A., 2021, “Approximate Lyapunov-Perron Transformations: Computation and Applications to Quasi-Periodic Systems,” ASME Journal of Computational and Nonlinear Dynamics. https://doi.org/10.1115/1.4050614

3. Sharma, A., 2020, “A Re-Examination of Various Resonances in Parametrically Excited Systems,” ASME Journal of Vibration and Acoustics, 142 (3), pp. 031010. https://doi.org/10.1115/1.4046130

4. Sharma, A., and Sinha, S.C., 2020, “Control of Nonlinear Systems Exhibiting Chaos to Desired Periodic or Quasi-Periodic Motions,” Nonlinear Dynamics, 99 (1), pp. 559-574. https://doi.org/10.1007/s11071-019-04843-8

5. Sharma, A., and Sinha, S.C., 2018, “On Instability Pockets and Influence of Damping in Parametrically Excited Systems,” ASME Journal of Vibration and Acoustics, 140 (5), pp. 051001. https://doi.org/10.1115/1.4039406

6. Sharma, A., and Sinha, S.C., 2018, “An Approximate Analysis of Quasi-Periodic Systems via Floquét Theory,” ASME Journal of Computational and Nonlinear Dynamics, 13 (2), pp. 021008. https://doi.org/10.1115/1.4037797

Conference Articles/ Presentations

1. Sharma, A., “On Computation of Approximate Lyapunov-Perron Transformations,” 10^th European Nonlinear Dynamics Conference (ENOC 2022) Lyon, 2022. [The conference has moved from 2020 to 2022.]

2. Sharma, A., “A Simple Approach for the Computation of Lyapunov-Floquet Transformations for the Mathieu Equation,” ASME IDETC-CIE 2021, Virtual Conference, August 17-20, 2021.

3. Sharma, A, and Zhao, J., “Control of a Chaotic Duffing Oscillator to Time-Varying Motions.” 2^nd International Nonlinear Dynamics Conference, Rome, February 16-19, 2021 - PowerPoint Slides

4. Sharma, A, “A New Technique for the Approximate Analysis of Quasi-Periodic Systems.” 2^nd International Nonlinear Dynamics Conference, Rome, February 16-19, 2021 - PowerPoint Slides

5. Sharma, A, “On Generalization of Resonances in Parametrically Excited Systems.” 2^nd International Nonlinear Dynamics Conference, Rome, February 16-19, 2021 - PowerPoint Slides

6. Sharma, A., “Analysis and Control of Dynamical Systems with Quasi-Periodic Coefficients,” CNSD, IIT Kanpur, India, December 12-15, 2019.

7. Sharma, A., and Sinha, S.C., “On Computation of Lyapunov-Perron Transformations,” Proceedings of the ASME 2019 IDETC and CIE Conference, Anaheim, California, USA, August 18-21, 2019, ASME Paper No. DETC2019-97702. https://doi.org/10.1115/DETC2019-97702 - PowerPoint Slides

8. Sharma, A., and Sinha, S.C., “A Feasible Analysis of Quasi-Periodic Mathieu Equations via Floquét Theory,” ID: “88”, Proceedings of 9^th European Nonlinear Dynamics Conference (ENOC2017), edited by Gábor Stépán, Gábor Csernák. Budapest, 2017. https://congressline.hu/enoc2017/abstracts/88.pdf - PowerPoint Slides

9. Sharma, A., and Sinha, S.C., “An Approximate Analysis of Quasi-Periodic Systems via Floquét Theory,” Proceedings of the ASME IDETC/CIE, Cleveland, Ohio, USA, August 6-9, 2017, ASME Paper No. DETC2017-68041. https://doi.org/10.1115/DETC2017-68041 - PowerPoint Slides

10. Sharma. A., and Panda, S.K., “Dynamic Instability of Radially Functionally Graded Circular Column with Different End Conditions,” Proceedings of 3^rd Asian Conference on Mechanics of Functional Materials & Structures, New Delhi, 2012.