Problem 1 [6 points]:
A capstone design team prototyped the following system for ExxonMobil as a
way to test elastomeric flexible couplings, which are used to connect shafts in
mechanical systems. A schematic of their prototype system is shown below:
Make
System Dynamics is an approach to solving problems that utilizes different tools, most notably
simulation, to support the work. These pages contain links to many tools, both open source and
proprietary, that are frequently used by people working in the fi
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Design Problem 1: Modeling a Wind Turbine and Generator System with Different Transmission Systems
Written by: Jordan Favret, Lindsey Bruton, and Hugo Salon-Romero
ME 3143: System Dynamics and Modeling
Dr. Michael Murphy
December 12, 2014
Executive Summar
Executive Summary:
Chain Driven CVT:
The chain driven CVT is similar to a belt drive in a car but is better for large applications (like an industrial sized wind turbine) because the chain doesn't change in size as much and lasts better under higher
stres
ME 3143
Fall 2015
Problem Set 5 Solution
1.
Your design team is given the task of designing a gravity tank for a
hydraulic system. A schematic of the proposed system is shown below:
(a)
A consultant reported that the bond graph shown below is a good model
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ME 3143
Fall 2015
Problem Set 4 Solution
1.
Maple is a package for doing symbolic (and numerical) mathematics. In
this class we will use it for some linear algebra with symbolic state
matrices.
Open a window in Maple. Type the following command to load th
ME 3143 QUIZ 2
20 October 2015
PAGE 1
SOLUTION
Problem 1 [6 points]:
A capstone design team prototyped the following system for ExxonMobil as a
way to test elastomeric flexible couplings, which are used to connect shafts in
mechanical systems. A schematic
ME 3143
Fall 2015
Problem Set 2 Solution
1.
Extend the mass-spring model of the crane and load on a suspended
track/beam by considering that the crane and track/beam can also be
modeled as a mass and spring. Assume that both the crane and load are
subject
ME 3143
Fall 2015
Problem Set 3 Solution
1.
Brown 2.10
Given:
A viscous fluid damper formed by a short orifice (crosssectional area, Ao) in the piston of a double-rod-end cylinder (see
below). Neglect leakage around the piston and friction between the
pis
ME 3143 EXAM 2
3 November 2015
PAGE 1
SOLUTION
Problem 1 [60 points]:
The schematics below show a design for a system for rolling sheet steel from
slabs. The DC motor and worm gear are used to set the desired slab thickness,
the roller on the right determ
Design Problem
ME 3143
System Dynamics
Due: 3 December 2015
Background
Resonating energy harvesters are being investigated as methods of recovering
electrical energy from regular vibratory motions to power a variety of devices.
One approach, shown in the
ME 3143 QUIZ 2
30 October 2014
PAGE 1
SOLUTION
Problem 1 [10 points]:
A motor-driven grinding wheel can be modeled as with the schematic above.
Assume that the motor is an ideal torque source and the force of the workpiece
on the grinding wheel is a resis
ME 3143 QUIZ 1
16 September 2014
PAGE 1
SOLUTION
Problem 1 [6 points]:
A simple, dynamic model of a conveyor system with an input force, is shown
below:
Your job is to develop differential equations to analyze the dynamics of the
machine.
(a)
An intern de
ME 3143
Fall 2012
Problem Set 6 Solution
1. For the mechanical system from Brown 3.25(a) consisting of a mass,
spring, and damper (resistance) as shown in the schematic below:
Given the equations in matrix form:
R3
p1 I1
q2 = 1
I1
1
C2 p1
0 q2
and
Overview
System dynamics is a computer-aided approach to policy analysis and design. It applies
to dynamic problems arising in complex social, managerial, economic, or ecological systems -literally any dynamic systems characterized by interdependence, mut
ME 3143 F11
Problem Set 2 Solution
ME 3143
Fall 2011
Problem Set 2 Solution
1.
Maple is a package for doing symbolic (and numerical) mathematics.
In this class we will use it for some linear algebra with symbolic state
matrices.
Open a window in Maple. Ty
ME 3143 pm a! EXAM a.
5 Dew:sz 2012
PAGE 3
4
-_....,..... . 'm. _.
Problem 1 [20 points}:
You? es-En team is given the task of designing a gravity tank for a hydraulic
system A sdmatic of the proposed system is shown below:
(e)-/ Your pewter says t
ME 3143 F11
Problem Set 9 Solution
ME 3143
Fall 2011
Problem Set 9 Solution
For each of the bond graphs below: (a) Number the bonds and assign causality;
(b) Identify state and input variables. Write the state and input variables in
matrix/vector form; (c
ME 3143
Fall 2012
Problem Set 7 Solution
For each system shown: (a) Construct a bond graph; (b) Number the
bonds and assign causality; (c) Identify the system order, state variables,
and input variables. Use the bond graph to answer any additional
questio
ME 3143
Fall 2012
Problem Set 5 Solution
1.
Use a Simulink model to solve the following set of state equations:
q2 = 3 p4 + u t
()
p4 = 2q2 4 p4
(a)
What are the eigenvalues of the state matrix? Find the
eigenvalues analytically and using the eig command
ME 3143
Fall 2012
Problem Set 4 Solution
1. A Simulink model is shown below:
(a)
Based on the experience from HW #3, find the system of
differential equations represented by the model. Write the
equations in matrix form.
(b)
Use the eig command to show th