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by: Chloe Reilly

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# ME Systems Lab ME 4053

Chloe Reilly

GPA 3.62

Staff

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COURSE
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Staff
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Class Notes
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## Popular in Mechanical Engineering

This 0 page Class Notes was uploaded by Chloe Reilly on Monday November 2, 2015. The Class Notes belongs to ME 4053 at Georgia Institute of Technology - Main Campus taught by Staff in Fall. Since its upload, it has received 17 views. For similar materials see /class/234256/me-4053-georgia-institute-of-technology-main-campus in Mechanical Engineering at Georgia Institute of Technology - Main Campus.

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Date Created: 11/02/15
ME4053 Mechanical Systems Laboratory Acoustics Numerical Directivity Calculation A loudspeaker is often modeled as a circular piston source The directivity or beam pattern for circular piston source of radius a is given by 2 11kasin 639 6 a kasin where F 271170 and His the angle in radians Note that Dis a function of ka sin6 and that D0 1 The function 1 X is a Bessel function of order one You will need to write a Matlab program to evaluate and plot the theoretical directivity D9 together with the experimental directivity over the range 7139 2 lt 639 lt Ir 2 Note the MATLAB function besseljnX yields a Bessel function of order n with argument X a The Matlab code must calculate the directivity function D9 and plots it vs angle as a polar plot and as a lineplot on a dB scale This Matlab code should be pasted into your lab notebook b The figure below shows a line plot of D9 in dB vs 9 for ka values of 2 8 and 14 3 curves on the same plot Duplicate this figure and paste it into your lab notebook c The Matlab command polar can be used to generate a polar plot of D9 for ka values of 2 8 and 14 To get 3 curves on the same polar plot you will need to use the Matlab command hold on Duplicate the figure below and paste it into your lab notebook To help you debug your code sample plots are provided below I I quot 5 39I 39l 39I l 39I 39 I A i 39l m Iquot Iquot E E i 139 n39 3 i l 139 5 l g I u 5 l E i39 l I 5 39 l LI ln39 39 vquot 39I 3 H 39 39 x 5 I i i y 39 I H 5 39 30 Iquot 39 39a 5 ill I 5 Ii 39 39IE39 5 5 393 i39 I 5 IIquot 3935quot f ill I 5 ll I 39 ill 5 II I 39 I i I 5 L1 I I I g I g I E I g 40 80 20 0 20 Angle 9 deg See the followmg page fbr the polar plot

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