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Credits: 3 Lecture Hours: Wed, Thu, Fri F-Slot, AEDH Instructor: K. V. N. Gopal Textbook: 1.
Elements of Vibrations Analysis - L. Meirovitch,
Tata McGraw-Hill (Sp. Indian Ed.)2007 - Required Useful References: 1.
Fundamentals of Vibrations - L. Meirovitch
(McGraw-Hill, 2001) 2.
Mechanical Vibrations - S. S. Rao (3rd
Edition) 3.
Principles of Vibration - Benson H. Tongue (OUP) 4.
Dynamics of Structures - R. W. Clough and Joseph Penzien
5.
Introduction to Structural Dynamics - Bruce K. Donaldson ( 6.
Vibration Problems in Engineering - S. Timoshenko Course requirements: ·
Regular attendance ·
Weekly Tutorial and matlab assignments ·
Quizzes ·
Final exam Tutorial: Tutorial sheets will be available
on the course webpage at regular intervals covering the portions discussed in
the lectures. You are expected to work out the problems to understand the
concepts. These tutorials will not be graded. There will a few assignments involving
the use of MATLAB. These assignments/projects will be graded. Grading: Assignments 20%, Quizzes 30%,
final 50%. These weights are approximate; the instructor reserves the right
to change them later, as needed. Prerequisites: Engineering Mechanics, Strength
of Materials, Linear algebra and Differential equations. Course Summary: Vibrations of Discrete Systems –
Governing Equation for Single Degree of Freedom (SDOF) systems - Free
Vibrations - Forced Vibrations under Harmonic, Periodic and Arbitrary Excitations
- Time-Domain Response and Frequency Domain Analysis, Multi-Degree of Freedom
(MDOF) Systems - Two DOF systems - Natural Modes of Vibrations, Lagrangian-Hamiltonian Approach to Dynamics - Modal
Analysis Vibrations of Continuous
Systems - Strings, bars, shafts and beams, Analytical Methods, Miscellaneous topics Announcements
4.8.2010
Lecture 1:
Introduction - Oscillations and Mechanical Vibrations , ‘Elements’
of a vibrating mechanical system. (inertia,
elasticity, damping) – Modelling a vibrating system – Discrete and Continuous
Systems, Conservative and dissipative systems – Single Degree of Freedom
(SDOF) discrete system model
5.8.2010 Lecture 2:
Free Vibrations of an undamped Single Degree of Freedom System (SDOF) – Natural
frequency, harmonic oscillations, equivalent
discrete spring stiffness of a continuous system. Linear springs in series
and parallel arrangement
6.8.2010 Lecture 3:
Free Vibrations of a SDOF with viscous
damping, damping factor, damped frequency roots of the governing equation and
nature of the motion for under-damped, critically damped and overdamped system – Logarithmic decrement
11.8.2010 NO CLASS
12.8.2010 NO CLASS
13.8.2010 Lecture 4:
Free vibrations of a SDOF
with viscous damping – relation between logarithmic decrement and damping
factor – Coulomb damping and structural/hysteretic damping.
Tutorial Sheets
The tutorial sheets are
provided to help the class to apply the concepts learned in the class and be
able to solve a variety of problems. The worksheets need not be turned in and
will not be graded. But anyone having trouble solving the problems can
approach me for guidance along with your working of the problem. Quiz 2 : Solution to Problem No. 1 |
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