row_reduction_presentation

row_reduction_presentation - Outline Quick look at a few...

Info iconThis preview shows pages 1–6. Sign up to view the full content.

View Full Document Right Arrow Icon
Outline Quick look at a few Utility Matrices in MATLAB Refresher about Spring-Mass Systems Free Body Diagrams (FBDs) of Spring-Mass Systems Communicating in Matrix Terminology K is a special matrix. Really !! Key Idea #2: Row Reduction of Matrix K Very Short Introduction to Spring-Mass Systems Session 2: FBDs, Toeplitz Matrix and Row Reduction Dr. Kartik V. Bulusu & Prof. Michael W. Plesniak Department of Mechanical and Aerospace Engineering MAE 1002 - Spring 2011 February 16, 2011 Dr. Kartik V. Bulusu & Prof. Michael W. Plesniak Very Short Introduction to Spring-Mass Systems
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Outline Quick look at a few Utility Matrices in MATLAB Refresher about Spring-Mass Systems Free Body Diagrams (FBDs) of Spring-Mass Systems Communicating in Matrix Terminology K is a special matrix. Really !! Key Idea #2: Row Reduction of Matrix K Quick look at a few Utility Matrices in MATLAB Refresher about Spring-Mass Systems Why are Spring-Mass Systems important ? - Review Free Body Diagrams (FBDs) of Spring-Mass Systems FBD of One Spring - One Mass System FBD of Two Spring - One Mass System FBD of Three Spring - Two Mass System Communicating in Matrix Terminology K is a special matrix. Really !! Review Key Idea #1: Toeplitz Matrices Key Idea #2: Row Reduction of Matrix K How do we get busy with Row Reduction ? Plodding along with Row Operations Dr. Kartik V. Bulusu & Prof. Michael W. Plesniak Very Short Introduction to Spring-Mass Systems
Background image of page 2
Outline Quick look at a few Utility Matrices in MATLAB Refresher about Spring-Mass Systems Free Body Diagrams (FBDs) of Spring-Mass Systems Communicating in Matrix Terminology K is a special matrix. Really !! Key Idea #2: Row Reduction of Matrix K Look back at Utility Matrices I eye(m,n) returns an m by n matrix with 1’s on the main diagonal I zeros(m,n) returns an m n matrix with zeroes I ones(m,n) returns an m n matrix with zeroes I rand(m,n) returns an m n matrix of random numbers between 0 and 1 I diag(v) creates a matrix with vector v on the diagonal I diag(A) creates a vector with the diagonal of matrix A I toeplitz(K) creates a symmetric Toeplitz matrix K Dr. Kartik V. Bulusu & Prof. Michael W. Plesniak Very Short Introduction to Spring-Mass Systems
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Outline Quick look at a few Utility Matrices in MATLAB Refresher about Spring-Mass Systems Free Body Diagrams (FBDs) of Spring-Mass Systems Communicating in Matrix Terminology K is a special matrix. Really !! Key Idea #2: Row Reduction of Matrix K Why are Spring-Mass Systems important ? - Review Spring-Mass System - Refresher In classical mechanics, a harmonic oscillator (for eg., spring-mass system) is a system which, when displaced from its equilibrium position, experiences a restoring force, F , proportional to the displacement, x: F = ± kx , where k is positive constant (spring constant) [ Click on the images to view animations ] Source of animations: Site maintained by David M. Harrison for Department of Physics, University of Toronto Dr. Kartik V. Bulusu & Prof. Michael W. Plesniak Very Short Introduction to Spring-Mass Systems
Background image of page 4
Outline Quick look at a few Utility Matrices in MATLAB
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 6
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 11/17/2011 for the course MAE 1002 taught by Professor Plesniak during the Spring '11 term at GWU.

Page1 / 23

row_reduction_presentation - Outline Quick look at a few...

This preview shows document pages 1 - 6. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online