--%>
Assignment Help - homework help

Problem on motion of the system

(a) A plane moving at a constant velocity, V, crashes into a building as shown in figure below. Due to the design against plane crash of that building, neither major damage nor explosion occurs but the building vibrates after the crash. Assuming that the building can be modeled as a single degree of freedom system, derive the equation of motion of the system. Given that the plane and building become an entity after the crash, the mass of the plane is 10% of the mass of the building (m), the building has stiffness k and damping coefficient c. Determine the response of the building, u(t).

1640_plane.jpg

(b) You are given three options to modify the building as follows:

Option 1: Change m to 2m,
Option 2: Change c to 2c, and
Option 3: Change k to 2k.

Assess these three options and  find  the  option that will produce the minimum reaction of the building.

   Related Questions in Mechanical Engineering

  • Q : Modal Combination Rules What are the

    What are the Modal Combination Rules in order to determine the peak value of the total response?

    		•
  • Q : Rated Speed and Economic Speed Explain

    Explain difference between the Rated Speed and Economic Speed?

    		•
  • Q : Synchronous generator & Generating units

    Question 1: Three generating units operating in parallel at 60 Hz have rating of 300, 500, and 600    MW and have speed-droop characteristics of 5, 4, and 3%, respectively. Due to a change in load, a

    		•
  • Q : Explain steam turbine diaphragm Steam

    Steam turbine diaphragm: Steam turbine includes of phases, number and size of the phases depends on the break horse-power of the turbine. The phase has set of moving and fixed blades. Moving blades are joined to th

    		•
  • 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 : What is critical speed What is critical

    What is critical speed?

    		•
  • Q : Problem on steam turbine 1) A steam

    1) A steam turbine takes in saturated steam at 300oc and outputs steam at 4 bar. When the efficiency of the turbine is 65%, Evaluate: a.  The final composition (vapor vs. liquid) of outgoing steam.b.  The

    		•
  • 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 : What is LILO What is meant by the term

    What is meant by the term LILO?

    		•
  • 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.

    		•