--%>
Assignment Help - homework help

Formulating equation of motion

Figure below shows a reinforced concrete framed building subjected to earthquake ground motion. The floor is rigid with the mass of each floor is shown in the figure. Formulate the equation of motion for this building. Prove that the natural frequencies for modes 1, 2 and 3 are 5.977 rad/s, 16.33 rad/s and 22.307 rad/s, respectively, and solve the equation of motion in order to obtain the generalized mass, damping, stiffness and force. Use the stiffness of column, k = 200 kN/m and the damping coefficient, c = 10 kN.s/m. Given:

1946_equation1.jpg

1970_equation2.jpg

   Related Questions in Mechanical Engineering

  • Q : What is pneumatic system Pneumatic

    Pneumatic system is a system which employs air to power something. For illustration, have you seen the tube systems at the bank drive-up tellers? Air is employed to push the tubes back and forth from the teller to customer.

    Q : Sources of energy what are different

    what are different alternate sources of energy

    		•
  • 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 : Petroleum technology theories for the

    theories for the origin of petroleum, methods for detection of petroleum deposits, fractional distillation

    		•
  • Q : Calculate the surface area available

    You are working in a company that has developed a process to produce DNA vaccines from E.coli. After the fermentation step a lysis step is used to release the DNA from the cells resulting in a sticky mixture. You find that an aggressive cleaning solution heated to 80°C is required to

    		•
  • Q : Undamped single degree of freedom (a)

    (a) The response for an undamped single degree of freedom system under free vibration is given as where ωn is the natural frequency and A and B are unknown that can be determined from the initial conditions. The response 

    		•
  • Q : Efficient use of waste heat and

    Efficient use of waste heat and renewable heat sources 1. Describe how you might recover heat from (a) a process exhaust gas stream (e.g. from an oven) and (b) a process warm water stream (e.

    		•
  • Q : Arena simulation Are you able to modify

    Are you able to modify the attached [HW4-4-1sawModifiedInstructorTemplate] with the information below for this assignment? Modify the attached exercise by adding agent breaks. The 16 hours are divided into two 8-hour shifts. Agent

    		•
  • 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 : Brazing and Welding Differentiate the

    Differentiate the term Brazing and Welding?

    		•