University of Tehran
Faculty of New Sciences & Technologies
1
Mechatronics Engineering
Dynamics
BY
Dr. Bahram Tarvirdizadeh
bahram@ut.ac.ir
Chapter 16 Planar Kinematics of a Rigid Body
Objective
To classify the various types of rigid-body.
To investigat
Static and Strength of Materials
Chapter 4-Structures
Mehdi Tale Masouleh
April 28, 2012
Statics and Strength of Materials-Tale MasoulehApril 28, 2012
Structures
Introductions
There are four categories of
engineering structures:
In this chapter we focus o
1
Advanced Mathematic-First Course
Solving Polynomial system of Equations
M. Tale Masouleh
November 8, 2011
2
Solving Polynomial system of Equations
November 8, 2011
Topics
We will touch upon
3
Solving Polynomial system of Equations
November 8, 2011
Intro
Static and Strength of Materials
Mehdi Tale Masouleh
September 20, 2014
Statics and Strength of Materials-Tale Masouleh
September 20, 2014
Overview
Our objective
References
Homework & Projects
Exam
How to reach me:
TA
Human
Statics and Strength of Materia
Static and Strength of MaterialsChapter 3-Equilibrium
Mehdi Tale Masouleh
October 17, 2013
Statics and Strength of Materials-Tale MasoulehOctober 17, 2013
Introductions
Introductions
A new denition: Statics deals with the
description of the force conditio
Chapter 3
Resultants
In Chapter 2, we saw how Grbner bases can be used in Elimination Theory.
o
An alternate approach to the problem of elimination is given by resultants.
The resultant of two polynomials is well known and is implemented in many
computer
Least Squares Solutions
by Eric Carlen
Let A be an m by n matrix. The system of equations Ax = b is called over determined
if m > n. Then there are more equations than unknowns, and the system will not be
solvable in general. On the other hand, if n > m,
Using the Singular Value Decomposition
Emmett J. Ientilucci
Chester F. Carlson Center for Imaging Science
Rochester Institute of Technology
emmett@cis.rit.edu
May 29, 2003
Abstract
This report introduces the concept of factorizing a matrix based on
the si
Notes on the Gramm-Schmidt Procedure for Constructing Orthonormal Bases
by
Eric Carlen
Suppose Im given two vectors, say
1
1
v1 =
0
and
2
1 ,
v2 =
1
and I want to nd an orthonormal basis for the subspace V that they span. Here is a
standard procedure,
University of Tehran
Faculty of New Sciences & Technologies
Mechatronics Engineering
Dynamics
BY
Dr. Bahram Tarvirdizadeh
bahram@ut.ac.ir
1
First law
Law of inertia - a body in motion will stay in motion
and a body at rest will stay at rest unless acted
PIEZOELECTICITY AND
ITS
APPLICATIONS
INTRODUCTION
Piezoelectricity was discovered by Curie brothers in
1880.
It is the generation of electric field from applied
pressure.
It is observed in crystalline materials with no
inversion symmetry.
The materials ex
University of Tehran
Faculty of New Sciences & Technologies
Mechatronics Engineering
Dynamics
BY
Dr. Bahram Tarvirdizadeh
bahram@ut.ac.ir
1
Textbook
1.
Engineering Mechanics, Dynamics
R. C. Hibbeler, 10th Edition
&
2. Engineering Mechanics, Dynamics
J. L.
University of Tehran
Faculty of New Sciences & Technologies
1
Mechatronics Engineering
Dynamics
BY
Dr. Bahram Tarvirdizadeh
bahram@ut.ac.ir
2
Objectives
Apply the Equation of Translation motion
Rectilinear Translation
Curvilinear Translation
F
F
x
m(a
Peter Croser, Frank Ebel
Pneumatics
Basic Level
Order no.:
Description:
Designation:
Edition:
Layout:
Graphics:
Author:
093131
PNEUM.GS.LEHRB
D.LB-TP101-1-GB
10/2002
B. Huber
D. Schwarzenberger, T. Ocker
P. Croser, F. Ebel
Copyright by Festo Didactic Gmb
Hydraulic Pumps
1
Introduction
A pump converts mechanical energy into hydraulic energy. The
mechanical energy is delivered to the pump via a prime mover such as an
electric motor. The energy is used to increase the pressure of the fluid
passing through t
Hydrolic
Reference:
Mohammad I. Kilani
Associate Professor & Head
Department of Mechatronics
The University of Jordan
1
Hydraulic Basic Principles
Hydraulics is the technology or study of
liquid pressure and flow. Liquids are
materials which pour and conf
Hydraulic Valves
1
Introduction
Hydraulic valves are those elements that control the direction and amount
of fluid power in a circuit. They do this by controlling the pressure and the
flow rate in various sections of the circuit.
Hydraulic Valve
Hydrauli
Hydraulic Cylinders and
Cushioning Devices
1
Introduction
Hydraulic cylinders and hydraulic motors perform a function opposite to
that performed by a pump. They extract energy from a fluid, and convert
it to mechanical energy to perform useful work.
Hydr
Hydraulic Circuits
1
Introduction
A hydraulic circuit is a group of components including one or more pump,
actuators, valves, piping, and ancillary equipment. It is used for power
transmission and control.
Hydraulic Valve
Hydraulic
Cylinder
VxI
Electric
Physical Properties of Hydraulic
and Pneumatic Fluids
1
HW 1 Output speed of a Hydraulic Jack
The hydraulic jack has an input area of 10 mm2
and an output area of 40 mm2, and is used to
move the output piston against a constant 2kN
load with different out
Physical Properties of Hydraulic
and Pneumatic Fluids
1
Introduction
The transfer of power and energy is a key consideration in hydraulic systems.
As seen in Chapter 1, a hydraulic power transmission system may be
considered as a back-to-back converter.
A