# Dr. A.P.J. Abdul Kalam University MTECH II SEM (MTSE) Structural Dynamics [MTSE201] June 2021 Question Paper

Dr. A.P.J. Abdul Kalam University

Master of Technology

Second Semester Examination, June-2021

Structural Dynamics [MTSE201]

Time: 3:00 Hrs Max Marks 70

Note: Attempt any five questions. All question carry equal marks.

Q.1 (a) What Is Laplace Transformation and its Applications?

(b) Explain The Coulomb-Damped Free Vibration With Derivation. And Discuss

Practical Application Of Coulomb Damped Free Vibration.

Q.2 (a) Explain the Rayleigh’s Method of Estimating Fundamental Frequency of

Continuous System and Explain Modifications Made in Rayleigh Ritz Approach.

(b) Explain The Method Of Matrix Iteration.

Q.3 (a) Explain Any Two of the Following:

(ii) Critical Dumping

(iii) Matrix Formulation

(b) A Three Story Single Boy Structure The Masses Lumped At Storey Levels. The

Spring Constants Are Noted In The Fig. Obtain A Characteristic Equation. Whose

Roots Will Give Natural Frequencies Or Vibration?

Q.4 (a) Discuss Step, Ramp And Pulse Excitations.

(b) Discuss:

(A) Time Stepping Methods

(B) Analysis of Non Linear Response

Q.5 (a) Discuss The D’Alembert’s Principle.

(b) Discuss Newmark’s Method For Numerical Evaluation of Dynamic Response of

Single Degree Of Freedom System.

Q.6 (a) Derive An Expression For Motion Of A Concentrated Mass Having Free

Viscously Damped Vibration. Show That the Decay in Amplitude of Vibration Is

Exponential.

(b) Explain:-

(i) Central Difference Method And

(ii) New Mark’s Method for Numerical Evaluation of Dynamic Response of Single

Degree Of Freedom System.

Q.7 (a) Discuss Vibration Isolation and Transmissibility

(b) Write A Short Note On Viscous Dampers.

Q.8 (a) Discuss Critical Dumping.

(b).Obtain A Frequency Equation for Free Vibration of Slender Beam Fixed At One

and Simply Supported At the Other.

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