Structural Vibration

This learning track covers the fundamental principles of structural dynamics, motion, and vibrations, with a focus on Newton's laws, D'Alembert's principle, and Simple Harmonic Motion (SHM). It provides a comprehensive understanding of Duff System Modelling, Vibration Modelling, and the Response Spectrum Method. The track also delves into the concept of degrees of freedom, explaining how it defines the deformed shape of a body. For instance, a pendulum and a portal frame are used as illustrative examples. The track further explores the dynamics of a simple pendulum, the role of damping force, and the application of energy conservation principles in structural engineering. It also covers the numerical implementation of Duhamel's Integral in MATLAB to solve for the response due to arbitrary loading in a system. Lastly, the track discusses the Fourier series representation and its application in structural dynamic analysis, including the calculation of the coefficients of a Fourier series.

This Learning Track 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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Innovation Course

Understanding Structural Dynamics and Motion

This course covers the fundamental principles of structural dynamics and motion, with a focus on Newton's laws, D'Alembert's principle, and Simple Harmonic Motion (SHM). It begins with an in-depth exploration of Newton's three laws of motion, particula...Read more

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Innovation Course

Understanding Duff System and Vibration Modelling

This course covers the comprehensive understanding of Duff System Modelling and Vibration Modelling, two essential topics in civil engineering. The course starts with an introduction to the Duff system, using a portal frame as an example to demons...Read more

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Innovation Course

Understanding Structural Dynamics and Vibrations

This course covers the fundamental concepts of structural dynamics and vibrations. It begins with an exploration of structural damping, where students learn about the role of energy loss in reducing deformation around resonance and the parameters t...Read more

4
Innovation Course

Understanding Dynamic Systems Impulse and Frequency Response

This course covers the fundamental concepts of impulse response function, frequency response function, and their applications in dynamic systems. It starts with the response of a system to an impulse and the calculation of the response ...Read more

5
Innovation Course

Numerical Solution Techniques for Equations

This course covers the comprehensive understanding of numerical solution techniques, focusing on the equation of motion and its solutions under various conditions. For instance, students learn about the Nigam and Jennings method, Central Difference meth...Read more

6
Innovation Course

Understanding Response Spectrum Method in Engineering

This course covers the comprehensive understanding of the Response Spectrum Method, a crucial technique in structural engineering for evaluating the maximum response of structures during seismic activities. For instance, the course begins with...Read more

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Innovation Course

Structural Dynamics Principles and Applications

This course covers the fundamentals of structural dynamics, with a focus on the concept of degrees of freedom in a structural system. It provides a comprehensive understanding of mass, stiffness, and damping in the context of structural dynamics. Th...Read more

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Innovation Course

Multi-Degree of Freedom System Analysis

This course covers the comprehensive understanding of multi-degree of freedom (MDOF) systems. It begins with the derivation of the equation of motion for an MDOF system, using the Lagrange equation and the concept of generalized coordinates. For instance, a...Read more

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Innovation Course

Understanding Forced Vibration in MDOF Systems

This course covers the intricate concept of forced vibration in multiple degrees of freedom (MDOF) systems. It provides a comprehensive understanding of the derivation of the equation of motion, the transformation of generalized coordinates into moda...Read more

10
Innovation Course

Understanding Multi-Degree of Freedom Systems

This course covers the comprehensive understanding of Multi-Degree of Freedom (MDOF) systems and their applications in structural engineering. It begins with the concept of response due to support motion in an MDOF system, using a three-story structur...Read more

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Innovation Course

Understanding Structural Vibration in Continuous Systems

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 ...Read more

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Innovation Course

Structural Vibration Analysis with Ansys

This course covers the comprehensive process of modeling and analyzing structures using Ansys software. It begins with the creation of a G+3 building model, detailing the geometry and dimensions of the structure. The course then delves into conducting a mo...Read more

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