Example of solving the Convolution Integral
Example 1
Let x(t ) = u (t ) and h(t ) = e at u (t ) , where a > 0 .
Find y (t ) = x(t ) h(t ) =
x( )h(t )d
Solution:
Step 1: Sketch x(t ) and h(t ) .
x(t ) = u (t )
x(t)
1
t
h(t ) = e at u (t )
h(t)
1
t
Notice
ENTS641
SOLUTION 2
Problem 1. Consider the following graph:
4
2
5
5
2
1
1
6
7
2
4
2
5
6
3
3
1. Write the steps that it takes for all nodes to find the shortest distance to node 6
using distributed Bellman Ford algorithm.
Steps
Initial
1
2
3
4
Node1
,NA
,N
Electrophoresis (DNA) Lab Report
General Concepts
1. How does gel electrophoresis sort DNA fragments?
2. If each individual has such a small amount of DNA, how do the bands on the gel contain enough
DNA to be visible?
3. Many genes only have a few possibl
Technology In Action, Complete, 12e
Chapter 7 Sound Byte Labs
Connecting to the Internet
Introduction: More and more of us are connecting to the Internet at work, school, and
home. There are a variety of choices for getting connected, from slower, less ex
Date:
Quiz for Chapter 2 Instructions: Language of the Computer
3.10
Not all questions are of equal difficulty. Please review the entire quiz first and then
budget your time carefully.
Name:
Course:
Solutions in Red
1. [5 points] Prior to the early 1980s,
6
Meshing
Meshing is a crucial step in performing analysis to your model. This chapter discusses the
following topics:
Solid Mesh. Describes solid meshing and tetrahedral elements.
Shell Mesh. Describes shell meshing and shell elements.
Shell Modeling. De
Chapter 6 Meshing
Background
Finite Element Analysis (FEA) provides a reliable numerical technique for analyzing
engineering designs. The process starts with the creation of a geometric model. Then, the
program subdivides the model into small pieces of si
Linear tetrahedral element
Parabolic tetrahedral element
For the same mesh density (number of elements), parabolic elements yield better results
than linear elements because: 1) they represent curved boundaries more accurately, and 2)
they produce better
Shell Modeling
You can mesh any solid model with tetrahedral
solid elements. However, meshing thin models
with solid elements results in generating a large
number of elements since you have to use a small
element size. Using a larger element size
deterior
Chapter 6 Meshing
High quality mesh. The automatic mesher generates parabolic triangular shell
elements.
A linear triangular shell element is defined by three corner nodes connected by three
straight edges. A parabolic triangular element is defined by th
Chapter 6 Meshing
Shell mesh using mid-surfaces
When selecting this option, the program extracts mid-surfaces automatically. Only one
material can be assigned to the part. This option is not available for assemblies.
COSMOSWorks extracts the mid-surfaces
As a general guideline, thin shells can be used when the thickness to
span ratio is less than 0.05.
Applying Restraints, Loads, and Mesh Control
For shell using mid-surfaces
To apply a restraint or a load to a shell edge, select the associated face of th
Chapter 5 Loads and Restraints
Since shell elements have rotational degrees of freedom, you must
differentiate between the Immovable restraint (no translation) and
the Fixed restraint (no translation and no rotation). You can also
apply concentrated momen
Load Type
Geometric
Entities
Reference
Geometry Type
Radiation
Faces
N/A
Unit and value of
surrounding temperature,
emissivity, and view
factor
Heat Flux
Faces
N/A
Unit and value of the heat
flux (heat power/unit
area). Temperature range
for optional ther
Chapter 5 Loads and Restraints
Radiation
The radiation rate of heat transfer between a face of area A at temperature Ts and the
ambient is expressed as:
4
4
Q radiation = fA ( T s T a )
Where f is the view factor, is the emissivity, and is the Stefan-Bolt
Module Main ()
Delcare Int num1
Declare Int num2
Declare Int greaterNum
Display "Please enter the first value"
Input num1
Display "Enter the second value"
Input num2
Display "The biggest number", max(num1, num2)
End Module
Fucntion Int max(Int n
EE122: Introduction to Computer Networks Department of Electrical Engineering and Computer Sciences U NIVERSITY OF C ALIFORNIA B ERKELEY
Homework 6 SOLUTIONS
Figure 1: Problem 1
Total points = 10 Question 1 (3 points) 1. Refer to gure ? 2. Refer to gure ?
Applying Bearing Forces to Multiple Faces
When you apply a bearing force to multiple faces, COSMOSWorks divides the force
among the selected faces based on their areas and locations in the half-space (where is
less than or equal to1800).
A bearing force i
Chapter 5 Loads and Restraints
Importing Loads
COSMOSWorks imports loads from COSMOSMotion and COSMOSFloWorks.
Importing Loads from COSMOSMotion
Many products contain moving assemblies of components (mechanisms). Mechanisms
play a crucial role in the perf
Chapter 5 Loads and Restraints
Load Type
Geometric
Entities
Reference
Geometry
Type
Required Input
Normal Force
with
nonuniform
(variable)
intensity
Coordinate
system
Unit and value of the force
and polynomial coefficients
to define the intensity. The
pro
Load Type
Geometric
Entities
Reference
Geometry
Type
Required Input
Directional
Pressure with
nonuniform
distribution
Faces of
solids and
shells, and
edges of
shells
Plane to define
direction, and
coordinate
system to
define
distribution
Unit and value(s)
Illustration
The following figure shows an example of a situation in which the Shrink Fit option is
used. In this example, a cylinder is compressed and then placed inside another cylinder.
The Shrink Fit contact condition is applied to the contacting face
Chapter 5 Loads and Restraints
Connectors
A connector is a mechanism that defines how a face is connected to another face or to the
ground. Connectors are encountered in many real life designs. Using connectors simplifies
modeling. In many cases, you can
Diallo 1
Thierno Diallo
Professor Jones
English 112
22 March 2016
Control
The situation is well known that in plays and novels, the male character is expected to
engage in public affairs - as in being soldiers, workers, leaders-, to be overall talkers, ma
Diallo 1
Thierno Diallo
Professor Chavis
African American History
13 October 2016
Old vs. Modern
In the mid-19th century, Americas westward expansion, with a growing abolition
movement in the North, would provoke a great debate over slavery that would spl
Diallo 1
Thierno Diallo
Professor Jones
English 112
10 May, 2016
Arrogance
A dramatic play involves conflict or contrast of a character, especially one intended to be acted
on the stage. A novel typically represents a character and an action with some deg