Free Vibrations of Linear Systems
with a Single Degree-of-Freedom
x + c x + kx =
0
Equation of motion m
( m > 0, k > 0, c 0 )
x ( 0 ) x=
x ( 0 ) v 0
Initial conditions=
0
k
Natural frequency of undam
MECH 315: Mechanics 3
Harmonic Response of Linear Systems with a Single DOF
Section I. Introduction to Harmonic Response
Harmonic forces are forces of the type F (t ) = F0 cos t or F (t ) = F0 sin t .
MECH 315: Mechanics 3
Impulse Response and Convolution
Consider a linear system with a single degree of
freedom consisting of a mass m , spring constant k ,
and damping constant c . The force applied
MECH 315: Mechanics 3
Information Sheet for the First Mid-Term Examination
Day/Date of Examination:
Monday, 7 October 2013
Duration:
110 minutes (10:35 a.m. to 12:25 p.m.)
Seating Arrangements:
Last n
Assignment 1 (Posted on 9 September 2013)
Please attempt all four (4) problems and submit your answers in class on 18 September 2013. In
fairness to all students, late submissions will not be correcte
MECH 315: Mechanics 3
Deriving the Equations of Motion using Newtonian and Lagrangian Mechanics
The equations of motion are the differential equations that govern the motion of vibrating
mechanical sy
MECH 315: Mechanics 3
Assignment 2
Please attempt all five (5) questions and submit your answers in class on 25 September 2013. All
questions focus on deriving equations of motion using Lagrangian mec
MECH 315: Mechanics 3
Assignment 4
This assignment contains eight (8) questions. Please submit your responses in class on Monday,
21st October. In fairness to all students, late submissions will not b
MECH 315: Mechanics 3
First Mid-Term Examination
Winter 2012
Feedback on the First Mid-Term Examination
Question 1.
(8 Points)
The figure below shows a system with two degrees-of-freedom. The motion o
MECH 315: Mechanics 3
Assignment 1
Assignments are not graded; solutions to selected problems will be posted on myCourses next
week. Please attempt to solve each problem before looking at the solution
MECH 315: Mechanics 3
Assignment 2
Assignments are not graded and solutions will be posted on myCourses next week. Please
attempt to solve each problem before looking at the solutions. This assignment
MECH 315: Mechanics 3
Assignment 3
Assignments are not graded and solutions will be posted on myCourses next week. Please
attempt to solve each problem before looking at the solutions.
1. The figure b
Welcome to Mechanics 3!
Lectures:
Srikar Vengallatore
Tutorials:
Pamela Woo
Grading:
Nastaran Shahmansouri
1
Dynamics:
Study of the motion of bodies under the
action of forces
Rectilinear
and Planar
D