²é¿´: 634  |  »Ø¸´: 5
µ±Ç°Ö»ÏÔʾÂú×ãÖ¸¶¨Ìõ¼þµÄ»ØÌû£¬µã»÷ÕâÀï²é¿´±¾»°ÌâµÄËùÓлØÌû

°¢Ã«³æ

Òø³æ (ÕýʽдÊÖ)

[ÇóÖú] ³æÓÑÃÇ£¬¿´Ò»ÏÂÕâ¸ö³ÌÐò£¬ÔËÐÐһϠÒÑÓÐ1È˲ÎÓë

Õâ¸ö³ÌÐòÎÒ¾ÍÏ뽫Êä³öµÄËĸöϵÊýÖµ£¬È«²¿±à¼­µ½coefficientµÄ¾ØÕóÖУ¬È»ºóÒ»ÆðÊä³öÀ´£¬²»ÏëÒ»´ÎÊä³öÒ»¸öÀ´£¬ÕâÑùµÄ»°£¬ºóÃæ½ô½Ó×Å»­Í¼£¬¸Ð¾õ²»ÄÜÖ±½Ó»­ÔÚÒ»·ùͼÉÏ£¬»¹ÓоÍÊÇΪʲôÕâ¸ö³ÌÐò×îºó»áÊä³ö¸öans=¡£¡£¡£¡££¬ÇóÖúлл
»Ø¸´´ËÂ¥

» ²ÂÄãϲ»¶

ѧϰ°É
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

sammymx

гæ (³õÈëÎÄ̳)

¡¾´ð°¸¡¿Ó¦Öú»ØÌû

¸Ðл²ÎÓ룬ӦÖúÖ¸Êý +1
¸ÄÁËһϣ¬Äã¿ÉÒÔ¿´¿´

» ±¾Ìû¸½¼þ×ÊÔ´Áбí

  • »¶Ó­¼à¶½ºÍ·´À¡£ºÐ¡Ä¾³æ½öÌṩ½»Á÷ƽ̨£¬²»¶Ô¸ÃÄÚÈݸºÔð¡£
    ±¾ÄÚÈÝÓÉÓû§×ÔÖ÷·¢²¼£¬Èç¹ûÆäÄÚÈÝÉæ¼°µ½ÖªÊ¶²úȨÎÊÌ⣬ÆäÔðÈÎÔÚÓÚÓû§±¾ÈË£¬Èç¶Ô°æÈ¨ÓÐÒìÒ飬ÇëÁªÏµÓÊÏ䣺xiaomuchong@tal.com
  • ¸½¼þ 1 : clamped_coefficient.m
  • 2015-11-17 16:03:10, 1.95 K
3Â¥2015-11-17 16:03:17
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
²é¿´È«²¿ 6 ¸ö»Ø´ð

°¢Ã«³æ

Òø³æ (ÕýʽдÊÖ)

²»ºÃÒâ˼£¬¸½¼þû´«ÉÏ

» ±¾Ìû¸½¼þ×ÊÔ´Áбí

  • »¶Ó­¼à¶½ºÍ·´À¡£ºÐ¡Ä¾³æ½öÌṩ½»Á÷ƽ̨£¬²»¶Ô¸ÃÄÚÈݸºÔð¡£
    ±¾ÄÚÈÝÓÉÓû§×ÔÖ÷·¢²¼£¬Èç¹ûÆäÄÚÈÝÉæ¼°µ½ÖªÊ¶²úȨÎÊÌ⣬ÆäÔðÈÎÔÚÓÚÓû§±¾ÈË£¬Èç¶Ô°æÈ¨ÓÐÒìÒ飬ÇëÁªÏµÓÊÏ䣺xiaomuchong@tal.com
  • ¸½¼þ 1 : clamped_coefficient.m
  • 2015-11-17 08:43:57, 1.84 K
ѧϰ°É
2Â¥2015-11-17 08:44:05
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

°¢Ã«³æ

Òø³æ (ÕýʽдÊÖ)

ÒýÓûØÌû:
3Â¥: Originally posted by sammymx at 2015-11-17 16:03:17
¸ÄÁËһϣ¬Äã¿ÉÒÔ¿´¿´

ÄãºÃ£¬ÏÂÔØ²»ÁË£¬ÓÃʲôѸÀ×ÍøÅÌ£¿Ö±½ÓÕ³ÌùÕâÀÎÒ¿´¿´°É£¬Ð»Ð»ÁË
ѧϰ°É
4Â¥2015-11-17 16:09:06
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

sammymx

гæ (³õÈëÎÄ̳)

¡¾´ð°¸¡¿Ó¦Öú»ØÌû

¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï
°¢Ã«³æ: ½ð±Ò+8, ¡ï¡ï¡ïºÜÓаïÖú, лл 2015-11-17 20:12:20
function [orthogonality, coefficient_all]=clamped_coefficient(c)
format long
clear all
G=8.0e10;
K=1.2;
E=2.06e11;
P=7.9e3;
l=4;
D=0.6;
H=0.2;
k=1/K;
I=D*(H^3)/12;
A=D*H;
              
figure;
coefficient_all = [];

r=sqrt(I/A);
s=sqrt(E*I/(k*A*G));
syms x ;
syms c;
frequency=[405.35308 1093.84137  2087.15447  3341.29751];

for ii=1:length(frequency)
  b=sqrt(P*A/(E*I))*frequency(ii);

  alfa=b*sqrt(-(r^2+s^2)+sqrt((r^2-s^2)^2+4./(b^2)))/sqrt(2);
  beta=b*sqrt(r^2+s^2+sqrt((r^2-s^2)^2+4./(b^2)))/sqrt(2);
  y=cosh(alfa*x)+(alfa*(beta^2-b^2*s^2)*(cos(beta*l)-cosh(alfa*l)))/((beta^2-b^2*s^2)*alfa*sinh(alfa*l)-beta*sin(beta*l)*(alfa^2+b^2*s^2)).*sinh(alfa*x)...,
      -cos(beta*x)-(beta*(alfa^2+b^2*s^2)*(cos(beta*l)-cosh(alfa*l)))/((beta^2-b^2*s^2)*alfa*sinh(alfa*l)-beta*sin(beta*l)*(alfa^2+b^2*s^2)).*sin(beta*x);
  y_int=int(y^2,0,l);

  fai=(alfa^2+b^2*s^2)/alfa*sinh(alfa*x)+(alfa*(beta^2-b^2*s^2)*(cos(beta*l)-cosh(alfa*l)))/((beta^2-b^2*s^2)*alfa*sinh(alfa*l)-beta*sin(beta*l)*(alfa^2+b^2*s^2))*(alfa^2+b^2*s^2)/alfa*cosh(alfa*x)...,
      -(b^2*s^2-beta^2)/beta*sin(beta*x)-(beta*(alfa^2+b^2*s^2)*(cos(beta*l)-cosh(alfa*l)))/((beta^2-b^2*s^2)*alfa*sinh(alfa*l)-beta*sin(beta*l)*(alfa^2+b^2*s^2))*(b^2*s^2-beta^2)/beta*cos(beta*x);
  fai_int=int(fai^2,0,l);

  orthogonality=c^2*y_int+c^2*r^2*fai_int-1/(P*A);
coefficient_result=solve(orthogonality,c) ;
coefficient_results=vpa(coefficient_result,6);
coefficient = abs(coefficient_results(1));
coefficient_all = [coefficient_all; coefficient];
x_shuzhi=0:0.01:4;
y_shuzhi=cosh(alfa.*x_shuzhi)+(alfa*(beta^2-b^2*s^2)*(cos(beta*l)-cosh(alfa*l)))/((beta^2-b^2*s^2)*alfa*sinh(alfa*l)-beta*sin(beta*l)*(alfa^2+b^2*s^2)).*sinh(alfa.*x_shuzhi)...,
      -cos(beta.*x_shuzhi)-(beta*(alfa^2+b^2*s^2)*(cos(beta*l)-cosh(alfa*l)))/((beta^2-b^2*s^2)*alfa*sinh(alfa*l)-beta*sin(beta*l)*(alfa^2+b^2*s^2)).*sin(beta.*x_shuzhi);
  
  hold on; h(ii) = plot(x_shuzhi,y_shuzhi);

end
5Â¥2015-11-17 16:15:45
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
×î¾ßÈËÆøÈÈÌûÍÆ¼ö [²é¿´È«²¿] ×÷Õß »Ø/¿´ ×îºó·¢±í
[¿¼ÑÐ] 278Çóµ÷¼Á +6 ÑÌ»ðÏÈÓÚ´º 2026-03-17 6/300 2026-03-21 01:57 by JourneyLucky
[¿¼ÑÐ] Ò»Ö¾Ô¸»ªÖпƼ¼´óѧ£¬080502£¬354·ÖÇóµ÷¼Á +5 ÊØºòϦÑôCF 2026-03-18 5/250 2026-03-21 01:06 by JourneyLucky
[¿¼ÑÐ] 311Çóµ÷¼Á +5 ¶¬Ê®Èý 2026-03-18 5/250 2026-03-21 00:16 by JourneyLucky
[¿¼ÑÐ] 317Çóµ÷¼Á +8 Éê×ÓÉêÉê 2026-03-19 13/650 2026-03-21 00:09 by Áõ¹úÉ­
[¿¼ÑÐ] 308Çóµ÷¼Á +3 °¢½ã°¢½ã¼Ò°¡ 2026-03-18 3/150 2026-03-20 23:24 by JourneyLucky
[¿¼ÑÐ] ¿¼Ñе÷¼ÁÇóÑ§Ð£ÍÆ¼ö +3 ²®ÀÖ29 2026-03-18 5/250 2026-03-20 22:59 by JourneyLucky
[¿¼ÑÐ] ²ÄÁÏѧ˶297ÒѹýËÄÁù¼¶Çóµ÷¼ÁÍÆ¼ö +11 adaie 2026-03-19 11/550 2026-03-20 21:30 by laoshidan
[¿¼ÑÐ] 260Çóµ÷¼Á +3 ÖìÜÆÁÕ 2026-03-20 3/150 2026-03-20 20:35 by ѧԱ8dgXkO
[¿¼ÑÐ] 353Çóµ÷¼Á +3 À­¹³²»Ðí±ä 2026-03-20 3/150 2026-03-20 19:56 by JourneyLucky
[¿¼ÑÐ] 086500 325 Çóµ÷¼Á +3 Áì´øÐ¡ÐÜ 2026-03-19 3/150 2026-03-20 18:38 by ¾¡Ë´Ò¢1
[¿¼ÑÐ] 085410È˹¤ÖÇÄÜר˶317Çóµ÷¼Á£¨0854¶¼¿ÉÒÔ£© +4 xbxudjdn 2026-03-18 4/200 2026-03-20 09:07 by ²»168
[¿¼ÑÐ] Ò»Ö¾Ô¸Ìì½ò´óѧ»¯Ñ§¹¤ÒÕרҵ£¨081702£©315·ÖÇóµ÷¼Á +11 yangfz 2026-03-17 11/550 2026-03-19 15:06 by houyaoxu
[¿¼ÑÐ] 328Çóµ÷¼Á£¬Ó¢ÓïÁù¼¶551£¬ÓпÆÑо­Àú +4 ÉúÎ﹤³Ìµ÷¼Á 2026-03-16 12/600 2026-03-19 11:10 by ÉúÎ﹤³Ìµ÷¼Á
[¿¼ÑÐ] ÉúÎïѧ071000 329·ÖÇóµ÷¼Á +3 ÎÒ°®ÉúÎïÉúÎﰮΠ2026-03-17 3/150 2026-03-18 10:12 by macy2011
[¿¼ÑÐ] 334Çóµ÷¼Á +3 Ö¾´æ¸ßÔ¶ÒâÔÚ»úÐ 2026-03-16 3/150 2026-03-18 08:34 by lm4875102
[¿¼²©] 26²©Ê¿ÉêÇë +3 1042136743 2026-03-17 3/150 2026-03-17 23:30 by ÇáËɲ»ÉÙËæ
[¿¼ÑÐ] ¿¼Ñе÷¼Á +3 ä¿ya_~ 2026-03-17 5/250 2026-03-17 09:25 by Winj1e
[¿¼ÑÐ] 326Çóµ÷¼Á +4 ŵ±´¶û»¯Ñ§½±êéê 2026-03-15 7/350 2026-03-16 17:11 by ŵ±´¶û»¯Ñ§½±êéê
[¿¼ÑÐ] 070300»¯Ñ§Ñ§Ë¶Çóµ÷¼Á +6 Ì«Ïë½ø²½ÁË0608 2026-03-16 6/300 2026-03-16 16:13 by kykm678
[¿¼ÑÐ] 0856ר˶279Çóµ÷¼Á +5 ¼ÓÓͼÓÓÍ£¡? 2026-03-15 5/250 2026-03-15 11:58 by 2020015
ÐÅÏ¢Ìáʾ
ÇëÌî´¦ÀíÒâ¼û