Problem on degree of freedom

Draw a frequency-response curves for a damped single degree of freedom system subjected to a harmonic excitation under three different damping ratios. System has a natural frequency of ω_n as the forcing frequency of the excitation is ω. Describe the relation of static and dynamic deformation responses for:

(i) ω/ω_n << 1
(ii) ω/ω_n >> 1
(iii) ω/ω_n = 1

Also define whether the dynamic response is controlled by the mass, or stiffness or damping of the system for each and every case.

(b) The single degree of freedom building system is excited by a sinusoidal force as shown in figure below. Assume that the girder is rigid whereas the columns are flexible to the lateral deformation but rigid in the vertical direction. Use E = 30 GPa, I = 60 x 10⁶ mm⁴ and 5 % damping and neglect the mass of columns. Find out

(i) the steady state amplitude of vibration,
(ii) the maximum shear force in the column,
(iii) the maximum bending moment.

973_degree of freedom.jpg

View Complete Question

Related Questions in Mechanical Engineering

Q : Problem on displacement response time

(i) Formulate the equation of motion for the system shown in Figure below. List two assumptions made in this formulation. (ii) Find the response of this system at t = 3s. The system begins with the displacement of 5 cm and velocity

Q : Value Engineering The value engineering

The value engineering method focuses on functional values, and aims to increase the difference between the cost and value of a product: by lowering cost and/or adding value. In many cases, the emphasis is simply on reducing costs, and the design effor

Q : Problem related to the value of the

Water flows via a pipe of about 300 mm diameter at the rate of 66 L/s. Evaluate the value of the manometer reading, ‘h’. The Specific gravity of manometer liquid is taken as 0.8.

Q : Problem on magnitude of force A

A horizontal pipe of dimension 540 mm diameter carrying 0.6 m3/s splits into two horizontal pipes of 300 mm diameter with 60% of the flow and another of 150 mm diameter with 40% of the flow. Find out the magnitude and direction of the force

Q : Medium-sized turbine How pressure of

How pressure of oil is managed when starting or stopping the medium-sized turbine?

Q : Maintenance in Product design

Maintenance: How frequently and easily the product is to be maintained must be specified. A photocopier shouldn't require a service call from a technician just to add toner. If the product is to be maintenance free, then costs may be increased due to

Q : How do you repair a hydraulic jack How

How do you repair a hydraulic jack?

Q : Problem on discharge of water In the

In the below system, d = 6 in., D = 12 in., Δz1 = 6 ft, and Δz2 = 12 ft. The discharge of water in the given system is 10 cfs. Is the machine a turbine or a pump ? Determine the pressures at points A and B? Neglect head losses. Suppos

Q : Working environment in Product design

Working environment: The conditions under which the product is likely to be used, stored, and transported must be specified. The product may have to operate in conditions of extreme temperature, be subject to vibration, radiation; these conditions wil

Q : Problem related to pressure gauge Water

Water flowing via the vertical pipe is illustrated below. Compute the required pipe diameter for the smaller pipe,‘d’, given that the two pressure gauges read similar value.

Discover Q & A

Leading Solution Library

Avail More Than 1434821 Solved problems, classrooms assignments, textbook's solutions, for quick Downloads

No hassle, Instant Access

Start Discovering

18,76,764

1954000
Asked

3,689

Active Tutors

1434821

Questions
Answered

Start Excelling in your courses, Ask an Expert and get answers for your homework and assignments!!

Submit Assignment