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Vibrations and Nonlinear Dynamics Laboratory, IIT-Madras Home Opportunities to Join the Lab (Dated: ) Useful Links Resources/Slides Conference Talks Research Areas of Interest Upcoming Projects Direct-Envelope Identification for Nearly Periodic Processes Time Scale Decomposition for Thermo-Mechanical Problems Stochastic Process Approaches For Predictive Constitutive and Damage Modeling of Rough Surfaces Reduced Order Modeling of Structures with Frictional and Geometric Nonlinearities Nonlinear Modal Testing as the Next Paradigm in Industrial Modal Analysis Wave-Expansion Modeling of Rotors, Frames, etc. Ongoing Projects Neimark-Sacker Bifurcations in Forced-Self Excited Frictional Systems Application of Nonlinear Modal Methods for Narrow-Band Random Excitation Identification of Micro-Slip Hysteretic Models from Frictional Response Measurements An Averaging Approach for the Stability of Periodic Responses Modal Interactions in the Presence of Multiple Nonlinear Modes Past Research Torus-Time Marching for the Evaluation of Hystereses Under Quasi-Periodic Responses A Sparse Parameterized Identification Approach for Weakly Nonlinear Systems Wave-Based Modeling for the Periodic Response and Stability Analysis of Jointed 1D Structures A Deep Neural Network Approach for Experimental Modal Analysis Using Video Measurements A Stochastic Approach for the Quantification of the Effects of Non-Unique Residual Tractions in Frictional Systems Long-Term Evolution of the Dynamics of Jointed Structures Multi-Scale Modeling of Bolted Joints with Uncerainty Quantification Hyper-Reduction for Jointed Interfaces A Quasi-Static Generalization of Rayleigh Quotient Extremality for Nonlinear Modal Analysis Publications Refereed Articles Books Conference and Workshop Papers Theses and Miscellanies Pedagogy Members M.Tech. Students Undergraduate Students Principal Investigator

Vibrations and Nonlinear Dynamics Laboratory, IIT-Madras
Lab Research Website

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I'm still thinking of a nice logo for the lab - suggestions are welcome! :-)

Welcome to the website of the Vibrations and Nonlinear Dynamics Laboratory. Our motto is simple:

If it oscillates, we'll study it!

We're always on the lookout for motivated students (Bachelors, Masters, and PhD) and scholars (for a Postdoc) who are fascinated by vibrations & dynamics and would like to try their hand out in research. Our door is always open to discuss research possibilities.

You can have a look at the research tab to get a general sense of the types of projects we like to work on. However, we are not closed to suggestions for new topics/areas! :)

Opportunities to Join the Lab (Dated: <2025-02-16 Sun>)

I'm presently looking for

  • Masters' Students (undergraduates will also be considered):
    1. Development of higher order Shell Finite Elements.
    2. Building a nonlinear oscillator using analog electronics.
    3. Implementation of Nonlinear Modal Analysis on a Finite Element Software.
    4. Using fractal surface theory to quantify and localize surface damage from interferometric scans.
  • PhD Students:
    1. Slow-fast decomposition of nonlinear dynamic responses for vibration monitoring and control
    2. Response Synthesis from Nonlinear Modal Analysis

Please email me at nidish@iitm.ac.in if you are interested.

IITM Summer Fellowship Programme
The summer fellowship programme is currently accepting applications. This is open to 3/4th year undergrads and Master's students. The deadline is <2025-02-28 Fri>, please apply!

Here's the link: https://ssp.iitm.ac.in/summer-fellowship-registration

Useful Links

  • IITM-SFP: IITM's Summer research fellowship for Bachelors' & Masters' students to pursue a research internship with a stipend
  • NLVib: A MATLAB/OCTAVE toolbox for harmonic balance
  • WaveVib: A MATLAB/OCTAVE toolbox for wave-based analysis of jointed 1D structures
  • Abaqus4Joints: An ABAQUS/MATLAB tutorial for jointed dynamics modeling

Resources/Slides

Conference Talks

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Last updated: 2025-04-04.

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