Your Perfect Assignment is Just a Click Away
We Write Custom Academic Papers

100% Original, Plagiarism Free, Customized to your instructions!

glass
pen
clip
papers
heaphones

ME 3220 Fall 2020: Displacement Calculation

ME 3220 Fall 2020: Displacement Calculation

ME 3220 Fall 2020

PROJECT

Due: Thursday, December 3, 2020

You must solve both problems described below to receive full points.

Important Note: The project counts for 20% of the final grade.

First Problem (50 Points)

A one degree-of-freedom model of a motor vehicle travelling in the horizontal direction

is shown in Figure 2.17 (Inman, 4th edition) and class notes.

(i) Find analytically the relative vertical displacement of the vehicle as it travels over a

wavy road of the form y(s) Y sin(?s / ?)? , where Y is the amplitude of the wave form,

s is the travelled distance, and 10Y? ? .

(ii) Write a MATLAB program for finding the relative vertical displacement of the

vehicle as it travels over a road bump of the form y(s) Y sin(?s / ?)? and compare the

numerical solution to the analytical solution. (25 points)

(iii) Use the computer program to find numerically and plot the relative vertical

displacement when the vehicle travels over the double step shown below. (25 points)

Parameter values: k = 400 kN/m, m = 1200 kg, ? = 0.5, Y = 0.3 m, ? = 6 m.

Attention: If you answer only question (i), the problem will NOT be graded and it will

count for NOTHING.

Important Note: You need to send me a report and a working MATLAB code that

runs from one starting “run” point

ME 3220 Fall 2020

Second problem (50 points)

Write a MATLAB program that can compute the response of an underdamped spring-

mass system for an arbitrary periodic input.

1. Show that your program can derive the analytical solution for a mass-spring system

governed by the equation ? ?mx cx Kx F t? ? ? , with 1m kg? , 10c kg s? ,

100K N m? , and ? ?F t is the square-pulse function with amplitude 0 10F N? and

period 2 secondsT ?? . We assume that the initial conditions are ? ?0 0.1x m? and

? ?0 3x m s? . (Note: It is the example that we solved in class).

2. Show that your program can derive the solution for any arbitrary periodic force with two examples.

Important Note: You need to send me a report and a working MATLAB code that

runs from one starting “run” point

Order Solution Now

Our Service Charter

1. Professional & Expert Writers: Homework Free only hires the best. Our writers are specially selected and recruited, after which they undergo further training to perfect their skills for specialization purposes. Moreover, our writers are holders of masters and Ph.D. degrees. They have impressive academic records, besides being native English speakers.

2. Top Quality Papers: Our customers are always guaranteed of papers that exceed their expectations. All our writers have +5 years of experience. This implies that all papers are written by individuals who are experts in their fields. In addition, the quality team reviews all the papers before sending them to the customers.

3. Plagiarism-Free Papers: All papers provided by Homework Free are written from scratch. Appropriate referencing and citation of key information are followed. Plagiarism checkers are used by the Quality assurance team and our editors just to double-check that there are no instances of plagiarism.

4. Timely Delivery: Time wasted is equivalent to a failed dedication and commitment. Homework Free is known for timely delivery of any pending customer orders. Customers are well informed of the progress of their papers to ensure they keep track of what the writer is providing before the final draft is sent for grading.

5. Affordable Prices: Our prices are fairly structured to fit in all groups. Any customer willing to place their assignments with us can do so at very affordable prices. In addition, our customers enjoy regular discounts and bonuses.

6. 24/7 Customer Support: At Homework Free, we have put in place a team of experts who answer to all customer inquiries promptly. The best part is the ever-availability of the team. Customers can make inquiries anytime.

Homework Free Org

Your one stop solution for all your online studies solutions. Hire some of the world's highly rated writers to handle your writing assignments. And guess what, you don't have to break the bank.

© 2020 Homework Free Org