--%>
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 : Servo drive What do you mean by Servo

    What do you mean by Servo drive and how mechatronic integration approach is improved by it.

    		•
  • Q : Medium-sized turbine How pressure of

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

    		•
  • Q : Size and weight in Product design

    Size and weight: If the product is particularly small the cost may be increased if more precise manufacturing methods are demanded. Weight restriction will as well influence materials to be utilized: this in turn will influence the manufacturing proce

    		•
  • Q : Ergonomics in product design

    Ergonomics: This is concerned with how easy (comfort, complexity) the product is to use by the targeted market. Physical human dimensions must be considered when designing the driver's seating, instruments, and controls in a car. Slight variations bet

    		•
  • 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 : Problem on mechanical efficiency of the

    The oil pump is drawing 25 kW of electric power while pumping oil with ρ = 860 kg/m3 at a rate of 0.1 m3/s. The inlet and outlet diameters of the pipe are of 8 cm and 12 cm, respectively. When the pressure rise of oil in the pump is measured to be 250 k

    		•
  • Q : MECHANICAL ENGINEERING DESIGN KINDLY

    KINDLY SEND ME MATERIAL ON "MULTISTAGE SPUR GEAR DESIGN OPTIMISATION USING RAY DIAGRAMS"

    		•
  • Q : Problem on discharge head loss Water is

    Water is draining from the tank A to tank B. The elevation difference among the two tanks is 10 m. The pipe joining the two tanks has a sudden-expansion section as shown below. The cross-sectional area of the pipe from A is 8 cm2, and the area of the pipe f

    		•
  • Q : Cetane Number and Octane Number

    Describe the term Cetane Number and the Octane Number?

    		•
  • Q : State Concurrent Engineering Concurrent

    Concurrent Engineering has happened primarily as a result of the need to shorten product development times, but improving product quality and reducing product life-cycle costs are important considerations. Some companies have even gone to the extent o

    		•