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Earthquake Engineering - Vol 1
Mode shapes are critical in understanding how structures react to dynamic loads such as earthquakes. This chapter outlines the mathematical foundation of mode shapes, their properties, and their significance in structural design, especially for seismic resistance. It also covers computational methods for determining mode shapes, their interpretation in structural dynamics, and practical applications in enhancing the performance of structures against seismic events.
15 Chapters
12 weeks
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Course Chapters
Chapter 1
Theory of Vibrations
Chapter 2
Concept of Inertia and Damping
Chapter 3
Types of Damping
Chapter 4
Difference Between Static Forces and Dynamic Excitation
Chapter 5
Degrees of Freedom and SDOF
Chapter 6
Equations of Motion of SDOF System for Mass as well as Base Excitation
Chapter 7
Free Vibration of Single Degree of Freedom (SDOF) System
Chapter 8
Response to Harmonic Excitation
Chapter 9
Impulse and Response to Unit Impulse
Chapter 10
Duhamel Integral
Chapter 11
Multiple Degree of Freedom (MDOF) System
Chapter 12
Two Degree of Freedom System
Chapter 13
Normal Modes of Vibration
Chapter 14
Natural Frequencies
Chapter 15