Max. Marks : 100 Note : 1) Answer any five full questions. 2) Assume any missing data suitably.
1. Explain with example :
(4×5=20)
i) Natural frequency ii) Resonance iii) Degrees of freedom iv) Damping. 2. Explain the numeral solution for response using Wilson θ -method.
20
3. Explain sensitivity analysis response and show that the sensitivity function p(t) is given by varying the stiffness. .. . mp ( τ ) + cp( τ ) + Kp ( τ ) = –x( τ ) 20 4. Obtain work balance equation and energy balance equation from an energy conservation perspective.
20
5. Obtain the natural periods of vibration for undamped free vibration system for 2DOF.
20
6. Explain sensitivity of natural frequencies to stiffness for a 2DOF system.
20
7. a) Obtain the mass metrix of an axial member.
10
b) Explain the structural properties to be determined to represent the motion in the dynamic equilibrium equation. 8. a) Explain orthogonality of mode shapes. b) Explain eigen values and eigen vectors _____________________
Obtain work balance equation and energy balance equation from an energy. conservation perspective. 20. 5. Obtain the natural periods of vibration for ...
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iv) Frequency domain and time domain analysis. 2. a) Explain D'Alembert's principle. 10. b) Explain the displacement response for undamped free vibration. 10.
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Page 2 of 8. Structural Mechanics. Realize Your Product Promise. Structural integrity is one of the most critical. considerations in product design. Across. virtually every industry, product development. teams must ask and answer foundational. questi