There will be a reading assignment for each course
meeting. . The reading is in the Text unless noted otherwise. The Text
is:
Singiresu S. Rao, Mechanical Vibrations, Third
Edition, 1995, Addison-Wesley Publishing Company, Reading,
Massachusetts.
Reading Assignment
1st Meeting Wednesday September 22, 1999 : Page 1 to page 17
2nd Meeting Friday September 24, 1999: Page 18 through 37
3rd Meeting Monday September 27, 1999: Review the first pages 1 through 37 and Read the first few pages of Chapter 2
4rd Meeting Wednesday September 29, 1999: Chapter 1 from page 1 to page 55; Chapter 2 page 97 through 113
5th Meeting Friday October 1, 1999: Chapter 1 from page 1 to page 67. All of Chapter 1 has now been assigned as have been certain portions of Chapter 2.
6th Meeting Monday October 4, 1999: Chapter 2 pages 97 to 121. Note Chapter 2 from page 97 to 113 has been previously assigned.
7th Meeting Wednesday October 6, 1999: Chapter 2 read the material up to page 121 and review material on kinetic energy of distributed mass, rigid bodies. A demo of FFT's and derivation of KE form will be presented in class.
8th Meeting Friday October 8, 1999: Working on examples of pulley problems, pendulums with rotating parts, derivation of a general form of M = dH/dt
9th Meeting Wednesday October 13, 1999: Read everything up to page 128 where viscous damping is considered. In lecture more examples will be worked out to illustrate how to use the various forms of the equations of motion and the conservation of kinetic and potential energy in systems without damping.
10th Meeting Friday October 15, 1999: Andrew will do several examples of the calculation of the Fourier coefficents for several functions given in mathematical form.
11th Meeting Monday October 18, 1999: A number of examples will be presented to illustrate the advantages of each of the several approaches to finding the natural frequency of systems with one degree of freedom.
12th Meeting Wednesday October 20, 1999: Some examples of calculating the mass moment of inertia of comples shapes. The center of percussion. Equation of motion of a one degree of freedom system with damping. Reading thru page 133.
13th Meeting Friday October 22, 1999: Viscous damping continued. Reading through Page 146
14th Meeting Monday October 25, 1999: Coulomb damping. Read Chapter 2 through Page 150
15th Meeting Wednesday October 27, 1999: Response of an undamped system to a sine wave forcing function. Chapter 3 to page 200
16th Meeting Friday October 29, 1999: Response of a damped system to a periodic forcing function. Chapter 3 to page 208
17th Meeting Monday November 1, 1999: Response of a damped system to periodic motion of the base. Chapter 3 to page 216
18th Meeting Wednesday November 3, 1999: Forced Vibration with Columb Damping. Chapter 3 to page 224
19th Meeting Friday November 5, 1999. Impulse response of a Second order system. The introduction of the delta function to represent and impulse. Chapter 4, pages 263 to pages 270
20th Meeting Monday November 8, 1999. Impulse as the limiting case of the response to a constant force for a finite time. Introduction to convolution.
21th Meeting Wednesday November 10, 1999 Hour Exam on Chapters 1 and 2.
22th Meeting Friday November 12,1999 Green's Function for a damped second order syste. Convolution for such systems with examples wored out at the board. Read Chapter 4 through pages 282. Material is treated differently in class and in the text. Beginning of Laplace Transforms.
23th Meeting Monday November 15, 1999 -Laplace transforms solution of second order systems with examples.
24th Meeting Wednesday November 17, 1999 - A bit
more on Laplace transforms and then beginning of systems with two degrees
of freedom. Read the first few pages of Chapter 5, pages 327 to 331