Find and compute the natural frequencies, MATLAB Programming

Assignment Help:

An electric overhead traveling crane, consisting of a girder, trolley, and wire rope, is shown in figure. The girder has a flexural rigidity (EI) of 6x1012 lb.in2 and a span (L) of 30 ft. The rope is made of steel and has a length of 20 ft. The weights of the trolley and the load lifted are 8000lb and 2000lb, respectively.

1. Find and compute the natural frequencies, mode ratios, normal modes and sketch mode shape diagrams for the normal modes.

2. Use Matlab to simulate the response of the system to initial excitations that will excite the normal modes:

Case 1: mode 1 use x2(0) = 0.0003m,?2(0)=0, x1(0)=x2(0)/r1,?1(0)=0

Case 2: mode 2 use x2(0) = 0.03m,?2(0)=0,x1(0) =x2(0)/r2,?1(0)=0

Note: these I.C. conform to the respective normal modes.

Compare the nature of computational responses from Matlab to the theoretical predicts.

3. Use Matlab to simulate the response of the system to a set of general initial conditions that do not conform to the mode ratios:

Case 3: general I.C. x2(0)= 0.0003m,?2(0)=0,x1(0) =0,?1(0)=0

Hint: For general initial conditions, the response conforms to the principle of superposition of the natural modes.


Related Discussions:- Find and compute the natural frequencies

Illustration of variable number of input arguments, Illustration of Variabl...

Illustration of Variable number of input arguments: In this situation, it was supposed that the radius will always be passed to the function. The function header can hence be

Accounts, need help in my accounts help

need help in my accounts help

Generates sin or cos wave using plot functions, Generates sin or cos wave u...

Generates sin or cos wave using plot functions: The script generates an x vector; iterating through all the values from 0 to 2*π in steps of 2*π /40 gives sufficient points to

Batch reactor, how to wriet program for batch reactor

how to wriet program for batch reactor

Implement the physat algorithm, Your task is to implement the PHYSAT algor...

Your task is to implement the PHYSAT algorithm in Matlab to classify the phytoplankton species in the data you have selected. An algorithm demonstrating one solution is provided b

1, #quest121ion..

#quest121ion..

Error-checking user input in the while loop, Error-Checking user input in t...

Error-Checking user input in the While Loop: In many applications, whenever the user is prompted to enter anything, there is a valid range of values. When the user enters a wr

Find the total per phase inductance and per phase shunt, A 300 km, 3-phase,...

A 300 km, 3-phase, 50Hz transmission line has spacing as shown in Figure 2. Each phase of the line consists of a bundle of three conductors.  (a) Find the total per-phase induct

Vector-array multiplication in simulink, Statement of Problem I need to...

Statement of Problem I need to realise vector-array multiplication in Simulink. This has been realised in Matlab but because the process yielding the received signal is in Simu

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd