简谐振动的动力学特征

1、1xkkxfx,0力力学学新乡学院物理系新乡学院物理系2kxfx0 xmkxkxxm 2 mk02xx 3020 xx 0 02xx 4),(n : mldtdmldtdvmmamgsin:nlvmmgt2 cos sin0 gl gl20200 ， 5 imgamzsin sin0 imga ，020 imga0 60 x702022 dtxd)cos( tax08 2tmkt 22 21t 2 29xvvxx00, sin,cos000avxaxt202020 xvxa10 t00t sin)sin(cos)cos(0000atavatax0 avaxsin;cos11xvvxx00,)(

2、sin;cos 000000 xvtgavaxxx12)(21 k221)( 2 k)(21 021)( 1 2 )(2121 2 1302100vax,021000 avaxxsincos 3 14)cos( tx02000 tataxvcossin tataxva020020coscos tttavx0002, xavaxv,222/ 2/ 150 16 tax0cos tatav0002sincos tataxa020020coscos aaa 0 17a0 200 tacos20 a ta020cos1819 484/cos tx tx38sin20212223 tax0cos tax

3、v00sin tmamvek022022sin2121 tkakxetkaepk022022cos2121,sin21pkeee 240 )1 (20 mg2526 20221011 taxtaxcoscos taataattattatataxxx0221102211202021010120210121 sinsinsincoscoscossinsincoscossinsincoscoscoscos 22112211 sinsinsincoscoscosaaaaaa 27)cos(122122212 aaaaa aaaaaa22112211 sinsinsincoscoscos tatatax

4、000cossinsincoscos1a2a0 1a2a21aa 0 28)cos(122122212 aaaaa n212 )(21aaa )()(1212 n21aaa 21aa 21aa 29mntt 2121tttaxtax002211 cos,cos ttatataxxx22200000012122121)(cos)(coscoscos 3000001212 t20012)(cos t20012)(cos 222200001212 调调调调调调tataacos)(costax20012)(cos 调调31tax20012)(cos 调调调调a20012)( 20021)( 平平a20

5、012 调调atax平平调调 cos 32tax平平调调 cos )(ta调调0012 拍拍330012 拍拍拍拍调调（拍拍） 22200001212 12 （拍拍）调调34taytax cos,cos21 12212212222122 sincosaaxyayax1a2a 12 35012 k2 0022211221222212 ayaxaaxyayax cosxaayayax1221 36)cos()(cos)(cos 022210222022122aaaayxr2221aa )(1212 kxaayayaxaaxyayax122212122221202 37)cos()(cos)(cos

6、 022210222022122aaaayxr382/ 212/ 2/ 2022012 taytaxcos,cos1222212 ayax020 t20ayx ,20 t2a220/ t2/ 392/ 222ayx 40414200 xmkxkxxmxmmgkmgxk kmg /43dtdxvfx 0 xmxmkxxmxkx 220，mmk0220 xxx 44202 0 220 ,i 22 tt taetxtcos)(45 taetxtcos)(tae ln) (taeaedttt 460 ttececx 20220221 21cc、470 teccx 2121cc、4849kx dtdx

7、tftf cos0 tfdtdxkxxm cos0 mffmmk0020,2, tfxx cos2020 500 teatxtcos0022 0a tatxcos111a 0a 51 tateatxtxtxtcoscos10101a 2111 tatatxcossin tatatxcoscos12211 tftatata coscossincos02112102 52 tfttattatta cossinsincoscossincoscossinsinsincoscos02112102 0222112102112100 sincossincossincosaaafaaa;2202 tg 222220014 fa531a tateatxtcoscos10 0a oaob0 54 20212221222022042faatg 222220014 fa55 )0(42sin4cos2222202222202220 0 ，0sin ，1cos 0 0 ，0cos,0sin 560 ，0cos,0sin ，2