+1-415-315-9853

info@mywordsolution.com

## Engineering

 Civil Engineering Chemical Engineering Electrical & Electronics Mechanical Engineering Computer Engineering Engineering Mathematics MATLAB Other Engineering Digital Electronics Biochemical & Biotechnology

Module 1:
problem Computational Kinematics

The assumptions of the system are that part 2 is rotating at a constant angular velocity of ω2 , and the ring (part 3) is sliding along part 2 at a constant velocity of 3 v .

Please state what the joints are in the system, I have worked out the constraint equations between part 3 and part 2 for you:

l3/2 [sin 2θ 2rx -3rx - cos ( 2θ)(2ry-3ry)
3θ- 2θ+ π/2=0 where irX and irY are part i’s local origin point, shown on the figure as 2P and 3P , for parts 2 and 3 respectively. l3 is the diameter of the ring.

1) Using your knowledge of computational kinematics determine the following:

• q

• C(q,t)

• {qC }

•{tC}

• Qd

If you cannot do the mathematics, then please describe what you believe is the procedure to find out each variable.

2) Suspension set-up

This is a multi-link suspension, it is currently missing the spring and damper.

Draw the system and describe each of the components in the suspension system, please include the spring and damper in your system. Determine the correct type of joints on the multi-link suspension system. Show your Degrees of Freedom calculations. Also please describe why we need five links, what happens if you only have four links?

3) Suspension analysis

a) find out the castor and trail from the following data, longitudinal positive direction is the same as the X direction in the figure above. Is this suspension set-up stable? Why?

Table: Bump – rebound data
Vertical Displacement               Upper ball joint             Lower ball joint            Wheel base marker
(mm)                                   (Lateral, Vertical,           (Lateral, Vertical,         (Lateral, Vertical,
Longitudinal) mm            Longitudinal) mm          Longitudinal) mm
0 mm                                  (545, 310, 300)               (550, 135,300)               (600, 0, 300)
100 mm                               (500, 410, 320)               (505, 235, 290)            (510, 100, 300)
0 mm                                  (545, 310, 300)               (550, 135, 300)            (600, 0, 300)
-100 mm                              (500, 210, 290)               (505, 35, 320)             (510, -100, 300)
0 mm                                   (545, 310, 300)               (550, 135, 300)            (600, 0, 300)

b) describe:

• Augmented Lagrangian method

• Embedding technique

• Amalgamated formulation

c) What are the differences? What are the benefits and negatives of each method?

3) Planar dynamics

The 25-kg bar BD is attached to the two light links AB and CD and moves in the vertical plane. The lower link is subjected to a clockwise torque M=200 N.m applied through its shaft at A. If each link has an angular velocity ? ? 5 rad/sec as it passes the horizontal position, find out the force which the upper link exerts on the bar at D at this instant. Also find the angular acceleration of the links at this position.

4) Non-linear

Stiffness of the Beam is given by the following equation
K= k0(u)-0.5 = N/mm
Where K0=10000 and w =1000kg.

Starting from displacement u = 0.1 as a first guess, show a Newton Raphson method solution to this problem (i.e. find and show the final tensile displacement of the beam) use a tolerance of±100N.

Now show the solution using the Modified Newton Scheme. Use a tolerance of ±100N or a maximum iteration of 4.

Finally use a Quasi-Newton method to find a solution, with a tolerance of ±100 N or a maximum iteration of 4.

describe the difference between implicit and explicit solvers, and when to use either one or the other. Also, describe the benefits and negatives of each method. If we crush a tube at a slow speed, then which solver method would you choose? And Why?

5)Elements – Solid Shell

a) describe what the difference is between shell elements and solid-shell elements. You may want to refer to the degrees of freedom of each.

b) prepare about a scenario where you would use solid shell elements over shell elements.

6) Hyper elastic material models

a) Draw a stress-strain curve of a typical hyper-elastic material model. describe the J parameter based on the 3rd invariant.

b) What hyper-elastic material model would you choose if you had a compressible elastomer? And why?

7) Non-linearities

a) Describe the different types of non-linearities in finite element analysis and give (draw) exs.

8) Multi-scale material modelling

a) describe when you may need to use Multi-scale modelling, with particular reference to the material behaviour.

b) You are going to model the atomic structure of steel to show the movements and effects of dislocations, what simulation model type would you choose? What are some of the problems of linking this simulation to your macro based simulations of steel sheet forming?

9) Non-linear Material Behaviour

a) describe what is meant by flow stress.

b) What is the associative flow rule and normality rule?

10) Contact

a) describe the penalty method for contact. Use diagrams where possible.

b) When all else has failed, what contact method would you turn to?

11) Modelling Fibre-Matrix Composites

b) Elements contain layers for modelling fibre-matrix composites, what do layers represent in an actual fibre-matrix composite?

12) Mass-scaling in explicit models

a) describe the concept of mass-scaling. Why is it only applicable to explicit analysis?

b) With reference to the figure above, describe the problems with mass-scaling. Also describe how to determine if there is a problem with your mass-scaling simulation.

13) integration points

a) What are integration points? Why are they useful?

b) What is reduced integration?

14) Mesh refinement

a) Mesh refinement techniques need to estimate the local error for the techniques to be able update the mesh. What are some of the common error indicators used in mesh refinement?

b) describe H-enrichment mesh refinement.

15) Multi-physics modelling

a) What is multi-physics modelling?

b) describe the difference between direct/coupled multi-physics modelling and sequential multi-physics modelling.

c) What are some of the problems you face when coupling two or more physical models together?

Mechanical Engineering, Engineering

• Category:- Mechanical Engineering
• Reference No.:- M91605

Have any Question?

## Related Questions in Mechanical Engineering

### Projectdesign a tube bank that will increase the

Project Design a tube bank that will increase the temperature of a 1200 CFM flow of air from 35°F to 100°F. Assume a constant pressure of 1atm. Each tube will have a diameter of 0.5in and a length of 24in. The tube confi ...

### An aluminum e 70 gpa cantilever must carry an end load of

An aluminum (E = 70 GPa) cantilever must carry an end load of 1.4 kN as shown. However, in this design, when the beam is loaded the end of the cantilever A has to have the same elevation as point C (i.e., the net deflect ...

### 1 sketch the deformation of a fluid element for the

1. Sketch the deformation of a fluid element for the following cases: 2. For a two-dimensional, incompressible flow with velocity v x  = v x (y), sketch a three-dimensional fluid element and illustrate the magnitude, dir ...

### You have a liquid and its gaseous form in equilibrium in a

You have a liquid and its gaseous form in equilibrium in a piston and cylinder assembly in a constant temperature bath. Give an example of a reversible process.

### 1 consider the differential control volume shown below by

1. Consider the differential control volume shown below. By applying the conservation of mass and the momentum theorem, show that dP + pvdv + g dy = 0 2. Water flows steadily through the horizontal 30° pipe bend shown be ...

### Part 1 key engineering terms fill in the blanks -1

Part 1 Key Engineering Terms: fill in the blanks - 1. Phase: a _____________________________________ homogeneous and distinct portion of material system. 2. Degrees of freedom: number of variables that can be changed ___ ...

### Research topic female inventors essay type technology and

Research Topic: Female inventors Essay type: Technology and Cultural Diversity pages: 6 - 8 pages, excluding title page and references page Times New Roman, font size 12, double-spaced sorces: 5

### 1 water is flowing through a large circular conduit with a

1. Water is flowing through a large circular conduit with a velocity profile given by the equation v = 9(1- r 2 /16) fps. What is the average water velocity in the 1.5-ft pipe? 2. Water enters a 4-in. square channel as s ...

### 1 using matlabsimulinkreg write a computer program to

1. Using MATLAB/Simulink®, write a computer program to represent the SEIG in its transient state. 2. Explain why an IG cannot self-excite under the following conditions: (1) no residual magnetism, (2) after too much indu ...

### As an approximate rule a particular vibrational mode in a

As an approximate rule, a particular vibrational mode in a molecule will contribute to the equipartition principle energy at temperatures where 3 2 kBT Ú ve for that mode. In the following table are listed all the vibrat ...

• 13,132 Experts

## Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

### WalMart Identification of theory and critical discussion

Drawing on the prescribed text and/or relevant academic literature, produce a paper which discusses the nature of group

### Section onea in an atwood machine suppose two objects of

SECTION ONE (a) In an Atwood Machine, suppose two objects of unequal mass are hung vertically over a frictionless

### Part 1you work in hr for a company that operates a factory

Part 1: You work in HR for a company that operates a factory manufacturing fiberglass. There are several hundred empl

### Details on advanced accounting paperthis paper is intended

DETAILS ON ADVANCED ACCOUNTING PAPER This paper is intended for students to apply the theoretical knowledge around ac

### Create a provider database and related reports and queries

Create a provider database and related reports and queries to capture contact information for potential PC component pro