{"id":565,"date":"2013-01-16T10:34:17","date_gmt":"2013-01-16T01:34:17","guid":{"rendered":"http:\/\/www.bi.appi.keio.ac.jp\/?p=565"},"modified":"2013-07-04T09:31:15","modified_gmt":"2013-07-04T00:31:15","slug":"%e6%a9%9f%e6%a2%b0%e7%b3%bb%e3%81%ae%e5%85%b1%e6%8c%af%e5%91%a8%e6%b3%a2%e6%95%b0","status":"publish","type":"post","link":"https:\/\/www.bi.appi.keio.ac.jp\/?p=565","title":{"rendered":"\u6a5f\u68b0\u7cfb\u306e\u5171\u632f\u5468\u6ce2\u6570"},"content":{"rendered":"

\u5916\u90e8\u304b\u3089\u529b\u3092\u52a0\u3048\u3066\u5f37\u5236\u7684\u306b\u632f\u52d5\u3055\u305b\u308b\u3068\uff0c\u5916\u90e8\u304b\u3089\u52a0\u3048\u308b\u529b\u306e\u5468\u6ce2\u6570\u304c\u5171\u632f\u5468\u6ce2\u6570\u306e\u3068\u304d\u306b\u632f\u5e45\u304c\u6700\u5927\u306b\u306a\u308a\u307e\u3059\uff0e<\/p>\n

\"mechanical\"<\/a><\/p>\n

\u30d0\u30cd\u30fb\u30de\u30b9\u30fb\u30c0\u30c3\u30b7\u30e5\u30dd\u30c3\u30c8\u3067\u69cb\u6210\u3055\u308c\u308b\u6a5f\u68b0\u7cfb\u306e2\u6b21\u9045\u308c\u7cfb\u306b\u5916\u529b[latex]f(t)[\/latex]\u3092\u52a0\u3048\u308b\u3068\u304d\u306e\u5909\u4f4d[latex]x(t)[\/latex]\u306b\u95a2\u3059\u308b\u5fae\u5206\u65b9\u7a0b\u5f0f\u306f
\n[latex]\\displaystyle m\\frac{d^2x}{dt^2}+d\\frac{dx}{dt}+kx=f(t)[\/latex]<\/p>\n

\u306b\u306a\u308a\u307e\u3059\uff0e<\/p>\n

\u30e9\u30d7\u30e9\u30b9\u5909\u63db\u3057\u3066\u4f1d\u9054\u95a2\u6570[latex]G(s)=X(s)\/F(s)[\/latex]\u3092\u6c42\u3081\u308b\u3068
\n[latex]\\displaystyle \\frac{1}{ms^2+ds+k}[\/latex]<\/p>\n

\u306b\u306a\u308a\u307e\u3059\uff0e\u5171\u632f\u5468\u6ce2\u6570\u306f\u30b2\u30a4\u30f3\u304c\u6700\u5927\u306b\u306a\u308b\u5468\u6ce2\u6570\u3067\u3059\u304b\u3089\uff0c\u5f62\u5f0f\u7684\u306b[latex]s=j\\omega[\/latex]\u3068\u3057\u3066\uff0c
\n[latex]\\displaystyle |G(j\\omega)|=\\left|\\frac{1}{-m\\omega^2+j\\omega ds + k}\\right|[\/latex]<\/p>\n

\u306b\u306a\u308a\u307e\u3059\uff0e\u3053\u308c\u3092[latex]g(\\omega)[\/latex]\u3068\u304a\u304f\u3068
\n[latex]g(\\omega)=((k-m\\omega^2)^2+d^2\\omega^2)^{-1\/2}[\/latex]<\/p>\n

\u306b\u306a\u308a\u307e\u3059\uff0e<\/p>\n

\u3053\u308c\u304c\u6975\u5927\u306b\u306a\u308b\u70b9\u3092\u63a2\u305b\u3070\u3088\u3044\u306e\u3067
\n[latex]\\displaystyle\\frac{dg(\\omega)}{d\\omega}=-\\frac{1}{2}((k-m\\omega^2)^2+d^2\\omega^2)^{-3\/2}(2(k-m\\omega^2)(-2m\\omega)+2d^2\\omega)=0[\/latex]<\/p>\n

\u3068\u306a\u308a\uff0c\u3053\u308c\u3092\u89e3\u304f\u3068
\n[latex]\\displaystyle\\omega_r=\\sqrt{\\frac{k}{m}-\\frac{d^2}{2m^2}}[\/latex]<\/p>\n

\u306b\u306a\u308a\u307e\u3059\uff08\u5171\u632f\u5468\u6ce2\u6570[latex]f_r=\\omega_r\/2\\pi[\/latex]\uff09\uff0e<\/p>\n

\u4e00\u65b9\uff0c\u96f6\u3067\u306f\u306a\u3044\u521d\u671f\u5024\u306e\u307f\u3092\u4e0e\u3048\u3066\u5916\u529b\u3092\u52a0\u3048\u306a\u3044\u5834\u5408\uff0c\u4e0d\u8db3\u6e1b\u8870\u306e\u3068\u304d\u306e\u632f\u52d5\u306e\u5468\u6ce2\u6570\uff08\u6e1b\u8870\u56fa\u6709\u5468\u6ce2\u6570\uff09\u306f\uff0c\u4f1d\u9054\u95a2\u6570\u306e\u6975\u306e\u865a\u90e8\u304b\u3089
\n[latex]\\displaystyle\\frac{1}{2\\pi}\\sqrt{\\frac{k}{m}-\\frac{d^2}{4m^2}}[\/latex]<\/p>\n

\u306b\u306a\u308a\u307e\u3059\uff0e<\/p>\n

\u6a5f\u68b0\u7cfb\u3067\u306f\uff0c\u300c\u99c6\u52d5\u529b\u300d\u306f\u5916\u90e8\u304b\u3089\u52a0\u3048\u3089\u308c\u308b\u529b\u3067\uff0c\u300c\u6d41\u308c\u300d\u306b\u5bfe\u5fdc\u3059\u308b\u3082\u306e\u306f\u901f\u5ea6\u306b\u306a\u308a\u307e\u3059\uff0e\u3057\u304b\u3057\uff0c\u8208\u5473\u304c\u3042\u308b\u306e\u306f\u5909\u4f4d\u3067\u3059\u304b\u3089\uff0c\u300c\u6d41\u308c\u300d\u306b\u5bfe\u5fdc\u3059\u308b\u7269\u7406\u91cf\u3092\u6642\u9593\u306b\u95a2\u3057\u3066\u7a4d\u5206\u3057\u305f\u7269\u7406\u91cf\u306b\u306a\u308a\u307e\u3059\uff0e<\/p>\n","protected":false},"excerpt":{"rendered":"

\u5916\u90e8\u304b\u3089\u529b\u3092\u52a0\u3048\u3066\u5f37\u5236\u7684\u306b\u632f\u52d5\u3055\u305b\u308b\u3068\uff0c\u5916\u90e8\u304b\u3089\u52a0\u3048\u308b\u529b\u306e\u5468\u6ce2\u6570\u304c\u5171\u632f\u5468\u6ce2\u6570\u306e\u3068\u304d\u306b\u632f\u5e45\u304c\u6700\u5927\u306b\u306a\u308a\u307e\u3059\uff0e \u30d0\u30cd\u30fb\u30de\u30b9\u30fb\u30c0\u30c3\u30b7\u30e5\u30dd\u30c3\u30c8\u3067\u69cb\u6210\u3055\u308c\u308b\u6a5f\u68b0\u7cfb\u306e2\u6b21\u9045\u308c\u7cfb\u306b\u5916\u529b[latex]f(t)[\/latex]\u3092\u52a0\u3048\u308b\u3068\u304d … “\u6a5f\u68b0\u7cfb\u306e\u5171\u632f\u5468\u6ce2\u6570” \u306e<\/span>\u7d9a\u304d\u3092\u8aad\u3080<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[9],"tags":[],"class_list":["post-565","post","type-post","status-publish","format-standard","hentry","category-9"],"_links":{"self":[{"href":"https:\/\/www.bi.appi.keio.ac.jp\/index.php?rest_route=\/wp\/v2\/posts\/565","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.bi.appi.keio.ac.jp\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.bi.appi.keio.ac.jp\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.bi.appi.keio.ac.jp\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.bi.appi.keio.ac.jp\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=565"}],"version-history":[{"count":21,"href":"https:\/\/www.bi.appi.keio.ac.jp\/index.php?rest_route=\/wp\/v2\/posts\/565\/revisions"}],"predecessor-version":[{"id":952,"href":"https:\/\/www.bi.appi.keio.ac.jp\/index.php?rest_route=\/wp\/v2\/posts\/565\/revisions\/952"}],"wp:attachment":[{"href":"https:\/\/www.bi.appi.keio.ac.jp\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=565"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.bi.appi.keio.ac.jp\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=565"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.bi.appi.keio.ac.jp\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=565"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}