.MCAD 304020000 1 74 548 0.CMD PLOTFORMAT0 0 1 1 1 0 0 1 1 0 0 1 1 1 0 0 1 1 0 1 0 0 1 1 NO-TRACE-STRING0 2 1 0 1 1 NO-TRACE-STRING0 3 2 0 1 1 NO-TRACE-STRING0 4 3 0 1 1 NO-TRACE-STRING0 1 4 0 1 1 NO-TRACE-STRING0 2 5 0 1 1 NO-TRACE-STRING0 3 6 0 1 1 NO-TRACE-STRING0 4 0 0 1 1 NO-TRACE-STRING0 1 1 0 1 1 NO-TRACE-STRING0 2 2 0 1 1 NO-TRACE-STRING0 3 3 0 1 1 NO-TRACE-STRING0 4 4 0 1 1 NO-TRACE-STRING0 1 5 0 1 1 NO-TRACE-STRING0 2 6 0 1 1 NO-TRACE-STRING0 3 0 0 1 1 NO-TRACE-STRING0 4 1 0 1 1 NO-TRACE-STRING0 1 1 21 15 0 0 3 .CMD FORMAT rd=d ct=10 im=i et=3 zt=15 pr=3 mass length time charge temperaturetr=0 vm=0.CMD SET ORIGIN 0.CMD SET TOL 0.001000000000000.CMD SET PRNCOLWIDTH 8.CMD SET PRNPRECISION 4.CMD PRINT_SETUP 1.200000 1.218750 1.200000 1.200000 0.CMD HEADER_FOOTER 1 1 *empty* *empty* *empty* 0 1 *empty* *empty* *empty*.CMD HEADER_FOOTER_FONT fontID=14 family=Arial points=10 bold=0 italic=0 underline=0 colrid=-1.CMD HEADER_FOOTER_FONT fontID=15 family=Arial points=10 bold=0 italic=0 underline=0 colrid=-1.CMD DEFAULT_TEXT_PARPROPS 0 0 0.CMD DEFINE_FONTSTYLE_NAME fontID=0 name=Variables.CMD DEFINE_FONTSTYLE_NAME fontID=1 name=Constants.CMD DEFINE_FONTSTYLE_NAME fontID=2 name=Text.CMD DEFINE_FONTSTYLE_NAME fontID=4 name=User^1.CMD DEFINE_FONTSTYLE_NAME fontID=5 name=User^2.CMD DEFINE_FONTSTYLE_NAME fontID=6 name=User^3.CMD DEFINE_FONTSTYLE_NAME fontID=7 name=User^4.CMD DEFINE_FONTSTYLE_NAME fontID=8 name=User^5.CMD DEFINE_FONTSTYLE_NAME fontID=9 name=User^6.CMD DEFINE_FONTSTYLE_NAME fontID=10 name=User^7.CMD DEFINE_FONTSTYLE fontID=0 family=Times^New^Roman points=10 bold=0 italic=0 underline=0 colrid=-1.CMD DEFINE_FONTSTYLE fontID=1 family=Times^New^Roman points=10 bold=0 italic=0 underline=0 colrid=-1.CMD DEFINE_FONTSTYLE fontID=2 family=Arial points=10 bold=0 italic=0 underline=0 colrid=-1.CMD DEFINE_FONTSTYLE fontID=4 family=Arial points=10 bold=0 italic=0 underline=0 colrid=-1.CMD DEFINE_FONTSTYLE fontID=5 family=Courier^New points=10 bold=0 italic=0 underline=0 colrid=-1.CMD DEFINE_FONTSTYLE fontID=6 family=System points=10 bold=0 italic=0 underline=0 colrid=-1.CMD DEFINE_FONTSTYLE fontID=7 family=Script points=10 bold=0 italic=0 underline=0 colrid=-1.CMD DEFINE_FONTSTYLE fontID=8 family=Roman points=10 bold=0 italic=0 underline=0 colrid=-1.CMD DEFINE_FONTSTYLE fontID=9 family=Modern points=10 bold=0 italic=0 underline=0 colrid=-1.CMD DEFINE_FONTSTYLE fontID=10 family=Times^New^Roman points=10 bold=0 italic=0underline=0 colrid=-1.CMD UNITS U=1.CMD DIMENSIONS_ANALYSIS 0 0.CMD COLORTAB_ENTRY 0 0 0.CMD COLORTAB_ENTRY 128 0 0.CMD COLORTAB_ENTRY 0 128 0.CMD COLORTAB_ENTRY 128 128 0.CMD COLORTAB_ENTRY 0 0 128.CMD COLORTAB_ENTRY 128 0 128.CMD COLORTAB_ENTRY 0 128 128.CMD COLORTAB_ENTRY 128 128 128.CMD COLORTAB_ENTRY 192 192 192.CMD COLORTAB_ENTRY 255 0 0.CMD COLORTAB_ENTRY 0 255 0.CMD COLORTAB_ENTRY 255 255 0.CMD COLORTAB_ENTRY 0 0 255.CMD COLORTAB_ENTRY 255 0 255.CMD COLORTAB_ENTRY 0 255 255.CMD COLORTAB_ENTRY 255 255 255.TXT 2 1 243 0 0Cg a70.000000,70.000000,85{\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0\fcharset0\fnil Arial;}}\plain\cf1\fs20 \pard 2-Dimensional Membrane Vibration, Example 2, p.670 - Solution by Surface Plot MathCad}.TXT 4 0 381 0 0Cg a65.000000,65.000000,57{\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0\fcharset0\fnil Arial;}}\plain\cf1\fs20 \pard Finding the Fourier coefficient\par using Symbolic operation:}.EQN 2 22 379 0 0(4)/(10*{0}4*{0}2)*(0&4`(4*{0:x}NAME-({0:x}NAME)^(2))*{0:sin}NAME(({0:m}NAME*{0:\p}NAME*{0:x}NAME)/({0}4))&{0:x}NAME)*((0&2`(2*{0:y}NAME-({0:y}NAME)^(2))*{0:sin}NAME(({0:n}NAME*{0:\p}NAME*{0:y}NAME)/(2))&{0:y}NAME))#.TXT 9 -21 495 0 0Cg a65.000000,65.000000,21{\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0\fcharset0\fnil Arial;}}\plain\cf1\fs20 \pard MathCad gives B(m,n):}.EQN 0 17 548 0 0(128)/(5)*(({0:m}NAME*({0:\p}NAME)^(2)*{0:sin}NAME({0:m}NAME*{0:\p}NAME)*{0:n}NAME*{0:sin}NAME({0:n}NAME*{0:\p}NAME)+2*{0:m}NAME*{0:\p}NAME*{0:sin}NAME({0:m}NAME*{0:\p}NAME)*{0:cos}NAME({0:n}NAME*{0:\p}NAME)-2*{0:m}NAME*{0:\p}NAME*{0:sin}NAME({0:m}NAME*{0:\p}NAME)+2*{0:cos}NAME({0:m}NAME*{0:\p}NAME)*{0:n}NAME*{0:\p}NAME*{0:sin}NAME({0:n}NAME*{0:\p}NAME)+4*{0:cos}NAME({0:m}NAME*{0:\p}NAME)*{0:cos}NAME({0:n}NAME*{0:\p}NAME)-4*{0:cos}NAME({0:m}NAME*{0:\p}NAME)-2*{0:n}NAME*{0:\p}NAME*{0:sin}NAME({0:n}NAME*{0:\p}NAME)-4*{0:cos}NAME({0:n}NAME*{0:\p}NAME)+4))/((({0:m}NAME)^(3)*(({0:\p}NAME)^(6)*({0:n}NAME)^(3))))#.EQN 6 -16 496 0 0{0:a}NAME:4#.EQN 0 8 497 0 0{0:b}NAME:2#.EQN 0 11 498 0 0{0:c}NAME:12.5#.EQN 0 9 515 0 0{0:M}NAME:20#.EQN 0 7 516 0 0{0:N}NAME:20#.EQN 3 -33 501 0 0{0:m}NAME:1;{0:M}NAME#.EQN 0 11 502 0 0{0:n}NAME:1;{0:N}NAME#.EQN 6 -13 503 0 0{0:B}NAME({0:m}NAME,{0:n}NAME):(128)/(5)*(({0:m}NAME*({0:\p}NAME)^(2)*{0:sin}NAME({0:m}NAME*{0:\p}NAME)*{0:n}NAME*{0:sin}NAME({0:n}NAME*{0:\p}NAME)+2*{0:m}NAME*{0:\p}NAME*{0:sin}NAME({0:m}NAME*{0:\p}NAME)*{0:cos}NAME({0:n}NAME*{0:\p}NAME)-2*{0:m}NAME*{0:\p}NAME*{0:sin}NAME({0:m}NAME*{0:\p}NAME)+2*{0:cos}NAME({0:m}NAME*{0:\p}NAME)*{0:n}NAME*{0:\p}NAME*{0:sin}NAME({0:n}NAME*{0:\p}NAME)+4*{0:cos}NAME({0:m}NAME*{0:\p}NAME)*{0:cos}NAME({0:n}NAME*{0:\p}NAME)-4*{0:cos}NAME({0:m}NAME*{0:\p}NAME)-2*{0:n}NAME*{0:\p}NAME*{0:sin}NAME({0:n}NAME*{0:\p}NAME)-4*{0:cos}NAME({0:n}NAME*{0:\p}NAME)+4))/((({0:m}NAME)^(3)*(({0:\p}NAME)^(6)*({0:n}NAME)^(3))))#.EQN 8 0 519 0 0{0:\l}NAME({0:m}NAME,{0:n}NAME):{0:c}NAME*{0:\p}NAME*(((({0:m}NAME)^(2))/(({0:a}NAME)^(2))+(({0:n}NAME)^(2))/(({0:b}NAME)^(2))))^((1)/(2))#.EQN 7 1 542 0 0{0:i}NAME:0,1;{0}20#.EQN 0 12 546 0 0{0:j}NAME:0,1;10#.EQN 3 -12 541 0 0({0:x}NAME)[({0:i}NAME):0.2*{0:i}NAME#.EQN 0 14 536 0 0({0:y}NAME)[({0:j}NAME):0.2*{0:j}NAME#.EQN 0 11 545 0 0{0:t}NAME:0,1;10#.EQN 7 -27 538 0 0{0:u}NAME({0:x}NAME,{0:y}NAME,{0:t}NAME):((1,20,{0:m}NAME,((1,20,{0:n}NAME,({0:B}NAME({0:m}NAME,{0:n}NAME)*{0:cos}NAME({0:\l}NAME({0:m}NAME,{0:n}NAME)*{0:t}NAME)*{0:sin}NAME(({0:m}NAME*{0:\p}NAME*{0:x}NAME)/({0:a}NAME))*{0:sin}NAME(({0:n}NAME*{0:\p}NAME*{0:y}NAME)/({0:b}NAME)))){64}#)){64}#)#.EQN 6 1 547 0 0({0:U0}NAME)[(({0:i}NAME,{0:j}NAME)):{0:u}NAME(({0:x}NAME)[({0:i}NAME),({0:y}NAME)[({0:j}NAME),0)#.EQN 0 37 509 0 0({0:U5}NAME)[(({0:i}NAME,{0:j}NAME)):{0:u}NAME(({0:x}NAME)[({0:i}NAME),({0:y}NAME)[({0:j}NAME),5)#.EQN 5 -39 511 0 0{0:U0}NAME{1 4 3 10 35 0 30 30 0 1 1 1 4 -1 1 0 1 1 1 4 -1 1 0 1 1 1 4 -1 1 5 0 16777215 0 100 3 NO-TITLE}{57}##2 5 21 21 0 1 1.5 71 5 4 3 0 4 1 03 1 2 0.1.EQN 0 39 512 0 0{0:U5}NAME{1 4 3 10 35 0 30 30 0 1 1 1 4 -1 1