Lecture Notes

MATLAB® software is required to run the .m files in this section. File decompression software, such as Winzip® or StuffIt®, is required to open the .zip files in this section.

13.811 is split into two segments: structural dynamics for the first half of the semester and acoustics for the second half. 

NOTE: Only the acoustics component is available on this site. The structural dynamics component has not yet been incorporated into OCW.

Structural Dynamics
1-13 Structural Dynamics
14 Introduction

The Acoustic Wave Equation
Schmidt (PDF)
15 Helmholtz Equation

Plane Waves

Wavenumber Representation
Schmidt (PDF)
16 Radiation from Infinite Plate

2-d Wavenumber Space

Spherical Waves from Point Source
Schmidt (PDF - 1.2 MB)
17 Directivity Function

Radiation from Baffled Rectangular Piston
Schmidt (PDF)
18 Radiation from Planar Sources Schmidt (PDF)

Supporting Files (ZIP) (The ZIP file contains: circ.m, circ_arr.m, dba.m, dbp.m, rect.m, rect_arr.m, sinc.m, and wavei.m.)
19 Radiation from Elastic Plates Schmidt (PDF)

Supporting Files (ZIP) (The ZIP file contains: plate.m.)
20 Quiz
21 Spherical Waves

Spherical Harmonics
Battle (PDF)
22 Spherical Multipole Radiation Battle (PDF)
23 Scattering from Spheres Battle
24 Cylindrical Waves Battle (PDF)
25 Helical Waves Battle (PDF)

Supporting Files (ZIP) (This ZIP file contains: readme.txt, cylrad.m, dH_ndx.m, dhndx.m, dipole.m, djndx.m, H_n.m, hard_sphere.m, helical.m, hn.m, jn.m, lpoly.m, monopole.m, sharm.m, soft_sphere.m, Ymn.m, and yn.m.)
26 Radiation from Cylinders Battle