Important RGPV Question
CE-702(C) Structural Dynamics
VII Sem, CE
Unit 1 Undamped Single Degree of Freedom System
Q.1Discuss Newmark’s method for numerical evaluation of dynamic response of single degree of freedom system. (RGPV Nov 2023)
Q.2 Explain D’Alembert’s principle and its applications. (RGPV Nov 2023)
Q.3 Derive equation of natural frequency for axial vibration of bar and bending vibration of beam as continuous system. (RGPV Nov 2023)
Q.4 Find the natural frequency for given system in Fig. 1. (RGPV Nov 2023)
Unit-2 Damped Single Degree of Freedom System
Q.1 A single degree of system consists of a mass 20 kg, spring of stiffness 2200N/m and a dashpot with a damping coefficient of 60 N-s/m is subjected to a harmonic excitation of F 200sin 5t Newton’s. Determine the steady state of response and write the solution of equation of motion. (RGPV Nov 2023)
Q.2 What is damping? Discuss the critical damping with example. (RGPV Nov 2023)
Q.3 Derive equation of motion for single degree of freedom system damped forced vibration. (RGPV Nov 2023)
Q.4 Define Logarithmic Decrement. Sketch and show how Logarithmic decrement varies with damping ratio? (RGPV Nov 2022)
Q.5 A rigid disc of mass m is mounted at the end of a flexible shaft. As shown in fig. 1. Neglecting the weight of the shaft and neglecting damping derive the equation for free torsional vibration of the disc. The modulus of rigidity of the shaft is G. (RGPV Nov 2022)
Q.6 Describe how the equation of motion can be set up using Newton’s second law of motion for the system shown in Fig.2: (Assume the stiffness of the system is Fs) (RGPV Nov 2022)
Unit-3 Response to harmonic and periodic vibrations
Q.1 Write notes on viscous dampers. (RGPV Nov 2023)
Q.2 Find the first three vibration frequencies and modes of an uniform beam clamped at one end and free at the other. Sketch the mode shapes. (RGPV Nov 2022)
Q.3 Starting from the basic definition of stiffness, determine the effective stiffness k of the spring mass system shown in Fig.3 (RGPV Nov 2022)
Q.4 Determine the natural frequencies and modes of vibration for the system shown in Fig.5. Normalize the modes to have unit vertical deflection at the free end. (RGPV Nov 2022)
Q.5 Determine the equation of motion of the beam shown in Fig. 6 (a) expressed in terms of Displacements u_{1} and u_{2} shown in Fig.6 (b). Hence deduce natural frequencies mode shapes. (RGPV Nov 2022)
Fig. 6 (a)
Fig.6 (b)
Unit-4 Response to Arbitrary, Step, and Pulse Excitation
Q.1 Explain ‘Logarithmic decrement’ and ‘Duhamel’s integral’ method for undamped system. (RGPV Nov 2023)
Q.2 Find the Laplace transformation of a pulse height ‘A’ and duration ‘t’ for rectangular pulse as given in Fig. 2. Deduce the Laplace transform of unit impulse. (RGPV Nov 2023)
Q.3 Indicate how Duhamel integral can be used to find the response of system shown in Fig.4 (a) for Unit impulse? (RGPV Nov 2022)
Q.4 Show how the response can be had for the rectangular pulse shown in Fig.4 (b)? (RGPV Nov 2022)
Unit-5 Multi Degree of Freedom System
Q.1 Discuss in detail the Eigen value problem and the methods used for solving the problems. (RGPV Nov 2023)
Q.2 Discuss the methods of matrix iteration. (RGPV Nov 2023)
Q.3 Describe the dynamic analysis procedure as per IS 1893:2002 for a high rise building with 4 stories. Indicate how the mass is lumped and the seismic force is distributed along the height. Distinguish between CQC and SRSS procedures given in the code. (RGPV Nov 2022)
Extra Questions
Q.1 Write note on any four of the followings: (RGPV Nov 2023)
i) Fourier transform methods
ii) Response to unit impulse
iii) Vibration isolation
- iv) Arbitrary force
- v) Equation of motion
Q.2 Write Short Notes on: (RGPV Nov 2022)
a) Hamilton Principle
b) Holzer method
c) Response spectrum
d) Uncoupling of equations of motion.
Q.3 Indicate how the equation is modified for earthquake horizontal ground acceleration. (RGPV Nov 2022)
— Best of Luck for Exam —
