3 publications
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Analytical Solution to Non-Linear Spring Mass System Free Vibration through Stepwise LinearizationBy Prasanth Gopi Nair, Sundaresan Poovalingam
Abstract: Classical method of solution of free vibration of non-linear spring mass systems has been iterative in nature as no methodology has been developed so far to obtained close form solutions. Proper time step needs to be defined upfront for obtaining realistic convergent solutions. This involves thorough understanding of the system dynamics is essential and is very challenging to the engineers at times to obtain the solution. Many a time the …
Published in Journal of Aerospace Engineering & Technology · Vol. 9, Issue 3, 2019 · pp. 31–39 Read article →
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Analytical Solution to Single Degree of Freedom Bi-Linear Spring Mass Systems Transient VibrationBy Prasanth Gopi Nair, Sundaresan Poovalingam
Abstract: Conventional approach to solution of linear systems under transient vibration has been through Convolution integral or Duhamel integral method which employs the method of superposition of linear solutions to obtain the total solution. Principle of superposition is not possible for non-linear systems and hence transient vibration solution cannot be obtained through classical methods. Nevertheless, the solution to transient vibration for each domain can be obtained as a sum of homogeneous …
Published in Journal of Aerospace Engineering & Technology · Vol. 8, Issue 2, 2018 · pp. 7–18 Read article →
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Analytical Solution to Bi-Linear Spring Mass Systems Free VibrationBy Prasanth Gopi Nair, Sundaresan Poovalingam
Abstract: Dynamic systems are generally categorized as linear and non-linear systems based on the analysis approaches developed. Bi-linear spring mass systems form an intermediate category which possesses characteristics of both linear and non-linear systems. Analytical solutions to bi-linear systems cannot in general be reduced to a single equation covering the entire motion domain as in the case of linear systems. Nevertheless, the step-wise linear solutions can be obtained within each domain …
Published in Journal of Aerospace Engineering & Technology · Vol. 8, Issue 1, 2018 · pp. 21–35 Read article →