GATE Structures: Structural dynamics: free and forced vibration of SDOF systems and free vibration of 2-DOF systems – Previous Year Questions
15 GATE previous year questions on Structural dynamics: free and forced vibration of SDOF systems and free vibration of 2-DOF systems (Structures, Aerospace Engineering) with answers and explanations, from every paper.
- GATE 2021 AE Q29 – A single degree of freedom spring-mass-damper system is designed to return to its original unperturbed position in minimum possible time without…
- GATE 2021 AE Q30 – Two cantilever beams made of the same homogeneous material have identical cross sections and lengths L and 2L. The ratio of the first natural…
- GATE 2021 AE Q36 – A massless bent rod, pivoted as shown, carries mass m at coordinates (L,H) and a spring k at horizontal distance L/2 from the pivot. Its…
- GATE 2021 AE Q42 – A two degree of freedom spring-mass system has natural frequencies 233.9 and 324.5 rad/s and corresponding mode shapes φ1=(1,−3.16), φ2=(1,3.16). With…
- GATE 2022 AE Q62 – A damper with damping coefficient, c, is attached to a mass of 5 kg and spring of stiffness 5 kN/m as shown in figure. The system undergoes…
- GATE 2022 AE Q63 – A uniform rigid prismatic bar of mass m is suspended by two identical springs at its ends, as shown. If 1< 2 are the two natural frequencies, 2/ 1 is…
- GATE 2023 AE Q25 – Which of the following statement(s) is/are true about harmonically excited forced vibration of a single degree-of-freedom linear spring-mass-damper…
- GATE 2023 AE Q30 – For studying wing vibrations, a wing of mass M and finite dimensions has been idealized by assuming it to be supported using a linear spring of…
- GATE 2023 AE Q51 – A single degree-of-freedom spring-mass-damper system has viscous damping ratio of 0.1. The mass is given an initial displacement of 10 cm without…
- GATE 2026 AE Q33 – The response x(t) of a freely vibrating single degree of freedom underdamped system is given below. In the equation, A and are constants. The damping…
- GATE 2026 AE Q59 – A system comprising a bar, spring and mass is shown in the figure below. The bar, having negligible mass, is made of a material having Young's modulus…
- GATE 2025 AE Q57 – A uniform rigid bar of mass 3 kg is hinged at point F, and supported by a spring of stiffness k=100 N/m, as shown in the figure. The natural frequency…
- GATE 2024 AE Q14 – Consider the free vibration responses P, Q, R and S (shown in the figure) of a single degree of freedom spring-mass-damper system with the same…
- GATE 2024 AE Q15 – For a single degree of freedom spring-mass-damper system subjected to harmonic forcing, the part of the motion (response) that decays due to damping…
- GATE 2024 AE Q55 – The equations of motion for a two degrees of freedom undamped spring-mass system are: m x 1 + 2kx 1 - kx 2 = 0 m x 2 - kx 1 + 2kx 2 = 0 where m and k…