--%>
Assignment Help - homework help

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 ωn as the forcing frequency of the excitation is ω. Describe the relation of static and dynamic deformation responses for:
 
(i) ω/ωn << 1
(ii) ω/ωn >> 1
(iii) ω/ωn = 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

   Related Questions in Mechanical Engineering

  • Q : Define Product Design Specification

    Product Design Specification: Once the basic idea for a product has been made, the next step is to create a product design specification, or PDS. This document must be as comprehensive and as detailed as possible as it forms the basis of all the work

    		•
  • Q : Conformance to standards in product

    Conformance to standards and specifications: These are standards laid down by national and international authorities. For instance, in Canada there is the Standards Council of Canada (SCC). The United States has many standards bodies including MIL (US

    		•
  • Q : Product appearance in Product design

    Product appearance: Strongly influenced by the Industrial Designer, the general style? of the product is significant as this will have an influence on materials and manufacturing procedures to be used. The product should be able to grab the customer's

    		•
  • Q : Difference between projectile motion

    Difference between projectile motion and rocket motion:A projectile has no motor or rocket on it, therefore all of its momentum is provided to it as it is launched. An illustration of a projectile would be pen which you throw across a room.

    		•
  • Q : Causes and consequences of dynamic

    Discuss the causes and consequences of dynamic loading on structures based on two real examples. Support your discussion with proper diagrams or sketches. Your discussion shall include the time and location of the event, type and source of dynamic loa

    		•
  • Q : Dynamic model for the paper machine

    Explain and derive the Dynamic model for the paper machine headbox?

    		•
  • Q : Efficient design What is meant by ‘

    What is meant by ‘efficient design’? Explain.

    		•
  • 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 : Difference between mill and mill-drill

    Difference between mill and mill-drill: Nowadays numerous manufactures are combining machines; a mill-drill is one of such. This is a combination of a drill and a mill, a mill eliminates stock from material (genera

    		•
  • Q : Decrease in entropy with termperature

    Explain that Entropy decreases along with the increase in its temperature?

    		•