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1) Find the transfer function from the force F (applied at x= L/3 the bar) to the motion Y of the location x=2L/3 a bar (with fixed-fixed) boundary conditions. Consider only the first mode of vibration with zero damping. The mass of the rod is M, mass-density of the rod is p, its length is L, Young's modulus is E, and cross-sectional area is A. 2) Find the response Y(t) for a unit step input with zero initial conditions. F(t) Y(t) →L/3 2L/3

1) Find the transfer function from the force F (applied at x= L/3 the bar) to the motion Y of the location x=2L/3 a bar (with fixed-fixed) boundary conditions. Consider only the first mode of vibration with zero damping. The mass of the rod is M, mass-density of the rod is p, its length is L, Young's modulus is E, and cross-sectional area is A. 2) Find the response Y(t) for a unit step input with zero initial conditions. F(t) Y(t) →L/3 2L/3

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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1) Find the transfer function from the force F (applied at x= L/3 the bar) to the motion Y of the location x=2L/3 a bar (with fixed-fixed) boundary conditions. Consider only the first mode of vibration with zero damping. The mass of the rod is M, mass-density of the rod is p, its length is L, Young's modulus is E, and cross-sectional area is A. 2) Find the response Y(t) for a unit step input with zero initial conditions. F(t) Y(t) →L/3 → 2L/3
Transcribed Image Text:1) Find the transfer function from the force F (applied at x= L/3 the bar) to the motion Y of the location x=2L/3 a bar (with fixed-fixed) boundary conditions. Consider only the first mode of vibration with zero damping. The mass of the rod is M, mass-density of the rod is p, its length is L, Young's modulus is E, and cross-sectional area is A. 2) Find the response Y(t) for a unit step input with zero initial conditions. F(t) Y(t) →L/3 → 2L/3
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