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- Structural Dynamics - SD
- 2018
- PYQ
**Biju Patnaik University of Technology BPUT - BPUT**- Civil Engineering
- B.Tech
**70 Views**- 2 Offline Downloads
- Uploaded 4 months ago

Registration No : Total Number of Pages : 02 M.Tech CEPC102 1st Semester Back Examination 2018-19 STRUCTURAL DYNAMICS BRANCH : CIVIL ENGG (STRUCTURAL ENGG), CIVIL ENGG., STRUCTURAL FOUNDATION ENGG, STRUCTURAL ENGG Time : 3 Hours Max Marks : 70 Q.CODE : E693 Answer Question No.1 which is compulsory and any FIVE from the rest. The figures in the right hand margin indicate marks. Q1 Q2 Q3 Answer the following questions : a) State D'Alembert's principle b) c) d) Define free vibration. What do you mean by natural frequency of a system? What is impulsive force? e) f) g) Differentiate between continuous and discrete systems. State the importance of critical damping in a structure. Write stiffness matrix of beam element. h) i) j) Give two examples of Random vibration in a structure. Name the instruments used for measuring vibration in structure. Define response spectrum. a) Differentiate between Coulomb damping and Structural damping. (5) b) For a single degree of freedom, if mass (m)= 10 kg, stiffness = 10N/m and damping constant= 4 Ns/m, find the damping factor, logarithmic decrement, and ratio of two consecutive amplitudes. (5) a) A mass of 1 kg is attached to the end of a spring with stiffness 0.7 kN/mm. Determine the critical damping constant. An automobile whose weight is 150 N is mounted on four identical springs. Due to its weight, it sags 0.23m. Each shock absorber has a damping coefficient of 0.4 N for a velocity of 3 cm per second. The car is placed on a platform which moves vertically at resonant speed, having amplitude of 1 cm. find the amplitude of the car. (5) Determine the expression for torque required for free torsional vibration of rods. Obtain the formula for dynamic magnification factor when single degree of freedom is subjected to harmonic loading. (5) Derive the expression for natural frequencies for uniform beam when both ends are simply supported. Write note on equivalent viscous damping. (5) b) Q4 a) b) Q5 (2 x 10) a) b) (5) (5) (5)

Q6 a) b) Q7 Q8 a) b) c) d) Write note on modal analysis of structures. For a random process having a constant spectral density diagram of magnitude S0 over a band of frequency between ω1 and ω2 and zero outside the band, determine the autocorrelation function. (5) (5) Derive equations of motion of multiple degrees of freedom. (10) Write short answer on any TWO : Logarithmic decrement Euler equation for beam Forced harmonic vibration Principle of virtual work (5 x 2)

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