Calculate all the mass-normalised modal vectors, Mechanical Engineering

The body, suspension and engine mounting system of a vehicle may be idealised as a three degree of freedom system consisting of a bar of mass 1400 kg and the centre of mass at G, 1 m from the front and 2 m from the rear ends as shown in the Figure Q1. The suspension system consists of springs and dampers, the front suspension consists of a spring of stiffness of kF = 25 kN/m and damper of damping coefficient c and the rear with stiffness of kR = 20 kN/m and damping coefficient of c. The moment of inertia of the vehicle about point G is1200 kgm2. The engine and its mount is idealised as mass-spring-damper attached to the vehicle at G to isolate the engine vibration transmitted to the vehicle, the engine has a mass of 400 kg, the isolator has stiffness kE= 10 kN/m  and damping coefficient of c.

(a)          Draw the free body diagrams of the system and show that the equation of motion for the undamped system is given by:

518_equation1.png

(b)  Use eigen functions in MATLAB to calculate all the mass-normalised modal vectors and associated undamped natural frequencies. Hence sketch the modeshapes illustrating the dynamic behaviour of the system. Use hand calculations wherever possible to verify the results obtained from MATLAB.

(c)   If the damping due to the suspension and engine mount isolator are to be included in the model, modify the equation of motion given in part (a) to include the damping matrix, use the damping coefficient c.

(d)  The engine produces a sinusoidal excitation force of magnitude 150 N at frequency of 30 Hz, further excitation forces from the road are in the form of unit impulses applied to the front and rear ends of the vehicle, using Modal Analysis calculate the response of the system at the front suspension. using MATLAB plot the response in time domain. Assume a damping ratio of 0.1 for all modes.

(e)  Calculate one Frequency Response Function in Inertance form and plot it in the frequency range of interest using MATLAB.

Include all your MATLAB outputs and label them clearly. State all the necessary assumptions clearly. You may Export the MATLAB plots into word documents.

749_MATLAB.png

Posted Date: 2/19/2013 7:37:11 AM | Location : United States







Related Discussions:- Calculate all the mass-normalised modal vectors, Assignment Help, Ask Question on Calculate all the mass-normalised modal vectors, Get Answer, Expert's Help, Calculate all the mass-normalised modal vectors Discussions

Write discussion on Calculate all the mass-normalised modal vectors
Your posts are moderated
Related Questions
A tensile test on a specimen having an initial diameter of 13.11 mm and an initial gauge length of 200.0 mm, gave the following data:

Define Cutting Parameters - Depth of Cut It is the thickness of metal removed by grinding wheel in one traverse stroke (lengthwise) t=depth of cut  =D 1 -D 2 / 2

Equivalen t force System: An equivalent system for the given system of coplanar forces is the combination of force passing through given point and moment about that point. Th

Determine reactions at supports of loaded beam: Determine reactions at supports A and B of loaded beam as shown in the figure given below.     Sol.: First co

EQUIPMENT FOR RESISTANCE WELDING-Protection A circuit breaker can be provided (this equipment can be rated for interrupted capacity) which will cater to a number of resistance

advanced cam profile synthesis

hi i have an assignment in control system can u do it ?

A 10 kg block slides down a smooth inclined surface as shown in Figure. Show the terminal velocity of the block if the 0.1 mm gap among the block and the surface have SAE30 oil at

Q. Analog Control System for steam generator ? The analog (modulating) control of the Steam Generators will be performed using a Process Control System (by Buyer). Detailed fun

Shear Force and Bending Moment: Shea r Force (S.F.) Algebraic sum of all vertical forces at any section of beam to the right or left of the section is known as shear for