Civil Engineering (CE) Exam > Civil Engineering (CE) Notes > Topic wise GATE Past Year Papers for Civil Engineering > Past Year Questions: Structural Dynamics
Past Year Questions: Structural Dynamics | Topic wise GATE Past Year Papers for Civil Engineering - Civil Engineering (CE) PDF Download
Q.1 A simple mass-spring oscillatory system consists of a mass m, suspended from a spring of stiffness k. Considering z as the displacement of the system at any time f, the equation of motion for the free vibration of the system is 
The natural frequency of the system is [2019 : 1 Mark, Set-I]
(a) m/k
(b) k/m
(c) 
(d) 
Ans.(D)
Solution:
Comparing with 
We get 
Q.2 A plane frame shown in the figure (not to scale) has linear elastic springs at node H. The spring constants are kx = ky = 5 x 105 kN/m and kθ = 3 x 105 kNm/rad.
For the externally applied moment of 30 kNm at node F, the rotation (in degrees, round off to 3 decimals) observed in the rotational spring at node H is___________ [2019 : 2 Marks, Set-II]
Solution:
No moment can be taken by segment FE
∴ MFE = 0
Q.3 For the beam shown below, the stiffness coefficient K22 can be written as [2015 : 1 Mark, Set-I]
Ans. (B)
Solution:
By giving unit displacement in 2nd direction without giving displacement in any other direction, the force developed RB, is,
(∴ Δ = 1)
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FAQs on Past Year Questions: Structural Dynamics - Topic wise GATE Past Year Papers for Civil Engineering - Civil Engineering (CE)
| 1. What is structural dynamics and why is it important in engineering? |  |
Ans. Structural dynamics is the study of how structures respond to dynamic loads, such as vibrations, earthquakes, and wind forces. It is important in engineering as it helps engineers design structures that can withstand these dynamic loads, ensuring the safety and stability of buildings, bridges, and other infrastructure.
| 2. What are the main factors that affect the dynamic response of a structure? | |
Ans. The main factors that affect the dynamic response of a structure include the magnitude and frequency of the applied dynamic load, the stiffness and damping characteristics of the structure, and the mode shapes and natural frequencies of the structure. These factors determine how the structure will vibrate and respond to dynamic loads.
| 3. How is structural dynamics different from structural analysis? | |
Ans. Structural dynamics and structural analysis are related but different fields. Structural analysis focuses on determining the internal forces and stresses in a structure under static loads, while structural dynamics deals with the response of structures to dynamic loads and vibrations. Structural dynamics takes into account the time-dependent behavior of structures and the effects of inertia and damping.
| 4. What are the methods used to analyze the dynamic response of structures? | |
Ans. There are several methods used to analyze the dynamic response of structures, including the modal analysis, response spectrum analysis, time history analysis, and finite element analysis. Modal analysis involves determining the natural frequencies, mode shapes, and modal damping of the structure. Response spectrum analysis uses a predefined spectrum of accelerations to estimate the structural response. Time history analysis involves simulating the actual time-dependent loads on the structure. Finite element analysis uses numerical methods to solve the equations of motion for the structure.
| 5. How can structural dynamics be applied in real-world engineering projects? | |
Ans. Structural dynamics can be applied in various real-world engineering projects. For example, it can be used to design earthquake-resistant buildings by analyzing the dynamic response of the structure to seismic forces. It can also be used in the design of bridges and other structures to ensure they can withstand wind-induced vibrations. Additionally, structural dynamics can be used to analyze and mitigate vibrations in machinery and equipment, such as rotating machinery or vehicles, to ensure their safe and efficient operation.
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