Author
A.K. Mallik
Bio: A.K. Mallik is an academic researcher from Indian Institute of Technology Kanpur. The author has contributed to research in topics: Vibration & Harmonic balance. The author has an hindex of 24, co-authored 50 publications receiving 1524 citations.
Topics: Vibration, Harmonic balance, Normal mode, Duffing equation, Harmonic
Papers
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TL;DR: In this paper, a non-linearity analysis of vibration isolators with symmetric and asymmetric restoring forces is performed under both force and base excitations, and linear stability analysis of the solutions is presented.
138 citations
TL;DR: In this paper, the steady state response of a uniform beam placed on an elastic foundation and subjected to a concentrated load moving with a constant speed was investigated and the mathematical form of the solution is justified by Fourier transform.
111 citations
TL;DR: In this paper, a variational approach for planning singularity-free path-planning for parallel manipulators based on a Lagrangian incorporating both a kinetic energy term which keeps the path short and a potential energy term that ensures that the obtained path is singularity free and the actuator lengths remain within their prescribed limits.
111 citations
TL;DR: Forced oscillations of a two-degree-of-freedom autoparametric system with moderately high excitations were studied in this paper, and the approximate results obtained by the method of harmonic balance were found to be satisfactory by comparing with those obtained by numerical integration.
Abstract: Forced oscillations of a two degree-of-freedom autoparametric system are studied with moderately high excitations. The approximate results obtained by the method of harmonic balance are found to be satisfactory by comparing with those obtained by numerical integration. In the primary parametric instability zone, separate regions of stable and unstable harmonic solutions are obtained. In the regions of unstable harmonic solutions, depending on the forcing amplitude and frequency, the solutions may be amplitude modulated or completely nonperiodic. In the latter case the numerical integrations do not converge.
86 citations
TL;DR: In this paper, a parametrically excited pendulum hinged to the mass is considered and two types of restoring forces on the pendulum are considered, and the method of harmonic balance is used to evaluate the system response.
81 citations
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1,197 citations
TL;DR: In this paper, a comprehensive assessment of recent developments of nonlinear isolators in the absence of active control means is presented, which highlights resolved and unresolved problems and recommendations for future research directions.
885 citations
TL;DR: In this paper, a vibration isolator consisting of a vertical linear spring and two nonlinear pre-stressed oblique springs is considered, and the softening parameter leading to quasi-zero dynamic stiffness at the equilibrium position is obtained as a function of the initial geometry, pre-stress and the stiffness of the springs.
355 citations
TL;DR: In this paper, the authors investigated the dynamic behavior of a nonlinear isolator supporting a lumped mass by modelling the dynamic system as a single-degree-of-freedom system.
336 citations
TL;DR: In this article, the authors derived the force transmissibility of a quasi-zero-stiffness isolator, which consists of a vertical spring and two oblique springs that are either linear, linear with pre-stress or softening nonlinear with prestress.
330 citations