This course covers the comprehensive understanding of structural vibration in continuous systems. It begins with the study of systems that can be modeled as a mass spring dashboard system, discussing the building blocks of such systems and the degrees of freedom involved. The course further explores the equation of motion for continuous systems, using a beam exposed to arbitrary loading as an illustrative example. It explains the process of solving the equation of motion using the separation of variables technique and how to derive the natural frequency of the system. The course also discusses the impact of different boundary conditions on the free vibration response. Additionally, it delves into the details of how to model a beam as a simply supported system, define its axes, and calculate its free vibration equation. The course concludes with a practical example of how to solve a problem using MATLAB, demonstrating how to calculate modal mass, modal force, and the total solution for a continuous system.
This course has been developed by Prof. Arunasis Chakraborty from IIT Guwahati for NPTEL. It is now accessible through Ansys Innovation Space courtesy of the partnership between Ansys and NPTEL, under the CC BY-SA license. For more details, visit https://nptel.ac.in/courses/105103347.
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Cost: FREE
- Course Duration: 2-4 HOURS
- Skill Level: Intermediate
- Skills Gained: Continuous System Vibration Analysis, Separation of Variables Technique
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