{"id":270,"date":"2023-06-22T22:10:54","date_gmt":"2023-06-22T22:10:54","guid":{"rendered":"https:\/\/physigeek.com\/cn\/%e6%ad%a3%e5%bc%a6%e6%b3%a2\/"},"modified":"2023-06-22T22:10:54","modified_gmt":"2023-06-22T22:10:54","slug":"%e6%ad%a3%e5%bc%a6%e6%b3%a2","status":"publish","type":"post","link":"https:\/\/physigeek.com\/cn\/%e6%ad%a3%e5%bc%a6%e6%b3%a2\/","title":{"rendered":"\u6b63\u5f26\u6ce2\uff08\u6b63\u5f26\u6ce2\uff09"},"content":{"rendered":"<p>\u672c\u6587\u89e3\u91ca\u4e86\u4ec0\u4e48\u662f\u6b63\u5f26\u6ce2\u53ca\u5176\u53c2\u6570\u3002\u6b64\u5916\uff0c\u60a8\u5c06\u80fd\u591f\u770b\u5230\u6b63\u5f26\u6ce2\u3001\u4f59\u5f26\u6ce2\u548c\u963b\u5c3c\u6b63\u5f26\u6ce2\u4e4b\u95f4\u7684\u533a\u522b\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-una-onda-sinusoidal\"><\/span>\u4ec0\u4e48\u662f\u6b63\u5f26\u6ce2\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u6b63\u5f26\u6ce2<\/strong>\uff0c\u4e5f\u79f0\u4e3a<strong>\u6b63\u5f26\u6ce2<\/strong>\u6216\u7b80\u79f0<strong>\u6b63\u5f26\u6ce2<\/strong>\uff0c\u662f\u4e00\u79cd\u56fe\u5f62\u8868\u793a\u76f8\u5f53\u4e8e\u6b63\u5f26\u51fd\u6570\u7684\u6ce2\u3002<\/p>\n<p>\u7b80\u5355\u5730\u8bf4\uff0c\u6b63\u5f26\u6ce2\u662f\u4e00\u79cd\u4ece\u6700\u5927\u503c\u5230\u6700\u5c0f\u503c\u632f\u8361\u7684\u5468\u671f\u6ce2\uff0c\u5305\u62ec\u5176\u95f4\u7684\u6240\u6709\u503c\u3002 <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/onde-sinusoidale.png\" alt=\"\u6b63\u5f26\u6ce2\uff0c\u6b63\u5f26\u6ce2\uff0c\u6b63\u5f26\u6ce2\" class=\"wp-image-4765\" width=\"408\" height=\"218\" srcset=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/onde-sinusoidale-300x160.png 300w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/onde-sinusoidale-768x410.png 768w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/onde-sinusoidale.png 787w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\"><\/figure>\n<p>\u6b63\u5f26\u6ce2\u7528\u4e8e\u4ee5\u56fe\u5f62\u65b9\u5f0f\u8868\u793a\u632f\u8361\u7cfb\u7edf\u7684\u884c\u4e3a\u3002\u4f8b\u5982\uff0c\u5728\u7535\u6c14\u5de5\u7a0b\u4e2d\uff0c\u7528\u6b63\u5f26\u6ce2\u6765\u8868\u793a\u4ea4\u6d41\u7535\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Caracteristicas-de-una-onda-sinusoidal\"><\/span>\u6b63\u5f26\u6ce2\u7684\u7279\u5f81<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u73b0\u5728\u6211\u4eec\u77e5\u9053\u4e86\u6b63\u5f26\u6ce2\uff08\u6216\u6b63\u5f26\u66f2\u7ebf\uff09\u7684\u5b9a\u4e49\uff0c\u8ba9\u6211\u4eec\u770b\u770b\u8fd9\u79cd\u6ce2\u6709\u4ec0\u4e48\u7279\u5f81\u3002<\/p>\n<ul>\n<li><strong>\u6b63\u5f26\u6ce2\u7684\u632f\u8361\u5468\u671f<\/strong>\u662f\u6ce2\u4e0a\u4e24\u4e2a\u7b49\u6548\u70b9\u4e4b\u95f4\u7ecf\u8fc7\u7684\u65f6\u95f4\u3002\u56e0\u6b64\uff0c\u5982\u679c\u6211\u4eec\u7ed8\u5236\u6b63\u5f26\u6ce2\u4e0e\u65f6\u95f4\u7684\u5173\u7cfb\u56fe\uff0c\u5219\u5176\u5468\u671f\u5c31\u662f\u540c\u4e00\u70b9\u91cd\u590d\u4e4b\u524d\u6240\u7ecf\u8fc7\u7684\u65f6\u95f4\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-791146eec9a5947e8c521165b97e100b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"T=\\text{P\u00e9riode}\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"96\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<ul>\n<li><strong>\u6b63\u5f26\u6ce2\u7684\u9891\u7387<\/strong>\u662f\u6ce2\u5728\u4e00\u4e2a\u5468\u671f\u5185\u632f\u8361\u7684\u6b21\u6570\u3002\u5468\u671f\u548c\u9891\u7387\u662f\u4e58\u6cd5\u5012\u6570\uff0c\u56e0\u6b64\u4ee5\u4e0b\u7b49\u5f0f\u6210\u7acb\uff1a<\/li>\n<\/ul>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-531bea341cf9b96ec2c355cc9e57d511_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f=\\cfrac{1}{T}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"49\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<ul>\n<li><strong>\u6b63\u5f26\u6ce2\u7684\u89d2\uff08\u6216\u8109\u52a8\uff09\u9891\u7387\u662f\u6ce2\u632f\u8361\u7684<\/strong>\u901f\u5ea6\u3002\u89d2\u9891\u7387\u7b49\u4e8e pi \u9664\u4ee5\u5468\u671f\u7684\u4e24\u500d\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-df8b803de06998e6a4ef5082a65705b7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\omega=\\cfrac{2\\cdot \\pi}{T}=2\\cdot \\pi \\cdot f\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"149\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<ul>\n<li><strong>\u6b63\u5f26\u6ce2\u7684\u632f\u5e45<\/strong>\u662f\u6ce2\u5cf0\u4e0e\u56fe\u8868\u6a2a\u8f74\u4e4b\u95f4\u7684\u5782\u76f4\u8ddd\u79bb\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-2179324dd1409df465504be8cc28e41b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A=\\text{Amplitude}\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"120\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<ul>\n<li><strong>\u6b63\u5f26\u6ce2\u7684\u521d\u59cb\u76f8\u4f4d<\/strong>\u662f\u6240\u7814\u7a76\u7684\u6b63\u5f26\u6ce2\u4e0e\u6b63\u5f26\u51fd\u6570\u56fe\u5f62\u4e0d\u540c\u7684\u89d2\u5ea6\uff08\u4ee5\u5f27\u5ea6\u4e3a\u5355\u4f4d\uff09\u3002\u5982\u679c\u6b63\u5f26\u6ce2\u4ece\u6c34\u5e73\u8f74\u5f00\u59cb\uff0c\u7136\u540e\u6cbf\u7740\u5782\u76f4\u8f74\u7684\u6b63\u4fa7\u79fb\u52a8\uff0c\u5219\u610f\u5473\u7740\u521d\u59cb\u76f8\u4f4d\u4e3a\u96f6\u3002<\/li>\n<\/ul>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-6b6d6fbbf6f6dadba6739a7880097e4f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\varphi=\\text{Phase initiale}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"141\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<ul>\n<li><strong>\u6b63\u5f26\u6ce2\u7684\u65b9\u7a0b<\/strong>\u5141\u8bb8\u6211\u4eec\u5c06\u56fe\u5f62\u4e0a\u7684\u4efb\u4f55\u6b64\u7c7b\u6ce2\u8868\u793a\u4e3a\u65f6\u95f4\u7684\u51fd\u6570\uff0c\u56e0\u6b64\u6b63\u5f26\u6ce2\u7684\u516c\u5f0f\u4e3a\uff1a <\/li>\n<\/ul>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-9c7d69417e2a15ce94f72b45aac339f2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y(t)=A\\cdot\\text{sin}(\\omega t+\\varphi )\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"166\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Sinusoide-y-cosinusoide\"><\/span>\u6b63\u5f26\u66f2\u7ebf\u548c\u4f59\u5f26\u66f2\u7ebf<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u4f59\u5f26\u6ce2<\/strong>\uff0c\u4e5f\u79f0\u4e3a<strong>\u4f59\u5f26<\/strong>\u6216<strong>\u4f59\u5f26<\/strong>\uff0c\u662f\u5176\u56fe\u5f62\u5177\u6709\u4f59\u5f26\u51fd\u6570\u5f62\u72b6\u7684\u6ce2\u3002<\/p>\n<p>\u7136\u800c\uff0c\u4f59\u5f26\u6ce2\u4e0e\u6b63\u5f26\u6ce2\u5177\u6709\u76f8\u540c\u7684\u56fe\u5f62\uff0c\u4f46\u5411\u5de6\u79fb\u52a8\u3002\u66f4\u51c6\u786e\u5730\u8bf4\uff0c\u4f59\u5f26\u6ce2\u4e0e\u6b63\u5f26\u6ce2\u6709 \u03c0\/2 \u5f27\u5ea6\u7684\u76f8\u4f4d\u5dee\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u5982\u679c\u4f59\u5f26\u6ce2\u5177\u6709\u4e0e\u6b63\u5f26\u6ce2\u76f8\u540c\u7684\u5e45\u5ea6\u548c\u8109\u52a8\uff0c\u5219\u53ef\u4ee5\u4ece\u6b63\u5f26\u65b9\u7a0b\u5f97\u5230\u4f59\u5f26\u65b9\u7a0b\u3002\u4e3a\u6b64\uff0c\u53ea\u9700\u6dfb\u52a0 \u03c0\/2 \u5f27\u5ea6\u7684\u521d\u59cb\u76f8\u4f4d\u3002 <\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-cdbc5163c711902651f2a3acb4a24950_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A\\cdot\\text{cos}(\\omega t)=A\\cdot\\text{sin}\\left(\\omega t+\\frac{\\pi}{2}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"33\" width=\"229\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Onda-sinusoidal-amortiguada\"><\/span>\u963b\u5c3c\u6b63\u5f26\u6ce2<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6700\u540e\uff0c\u6211\u4eec\u5c06\u4e86\u89e3\u4ec0\u4e48\u662f\u963b\u5c3c\u6b63\u5f26\u6ce2\u4ee5\u53ca\u5b83\u4e0e\u7eaf\u6b63\u5f26\u6ce2\u7684\u533a\u522b\u3002<\/p>\n<p><strong>\u963b\u5c3c\u6b63\u5f26\u6ce2<\/strong>\u662f\u632f\u5e45\u968f\u65f6\u95f4\u8d8b\u4e8e\u96f6\u7684\u6b63\u5f26\u6ce2\u3002<\/p>\n<p>\u56e0\u6b64\uff0c<strong>\u963b\u5c3c\u6b63\u5f26\u6ce2\u4e0e\u6b63\u5f26\u6ce2\u4e4b\u95f4\u7684\u533a\u522b<\/strong>\u5f88\u7b80\u5355\uff0c\u963b\u5c3c\u6b63\u5f26\u6ce2\u7684\u5e45\u5ea6\u9010\u6e10\u51cf\u5c0f\uff0c\u800c\u6b63\u5f26\u6ce2\u59cb\u7ec8\u4fdd\u6301\u5176\u5e45\u5ea6\u6052\u5b9a\u3002 <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/onde-sinusoidale-amortie.png\" alt=\"\u963b\u5c3c\u6b63\u5f26\u6ce2\" class=\"wp-image-4776\" width=\"338\" height=\"296\" srcset=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/onde-sinusoidale-amortie-300x263.png 300w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/onde-sinusoidale-amortie.png 645w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\"><\/figure>\n<p>\u963b\u5c3c\u6b63\u5f26\u6ce2\u7684\u65b9\u7a0b\u4e0e\u6b63\u5f26\u6ce2\u7684\u65b9\u7a0b\u975e\u5e38\u76f8\u4f3c\uff0c\u53ea\u662f\u6dfb\u52a0\u4e00\u4e2a\u6307\u6570\u56e0\u5b50\uff0c\u8be5\u56e0\u5b50\u4f1a\u968f\u7740\u65f6\u95f4\u7684\u589e\u52a0\u800c\u51cf\u5c0f\u5e45\u5ea6\u3002<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-3c1bc0f9419ce7ef6a01fb0065562bd7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y(t)=A\\cdot e^{-\\lambda t}\\cdot\\text{sin}(\\omega t+\\varphi )\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"211\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\">\u91d1\u5b50\uff1a <\/p>\n<ul style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-15e7ddd9037930fb096ecf8c2f36db02_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y(t)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"28\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u662f\u65f6\u523b\u7684\u77ac\u65f6\u5e45\u5ea6<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-fd9cb27edab3f0a8a249bc80cc9c6ee2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"t\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"6\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u3002 <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-fd9cb27edab3f0a8a249bc80cc9c6ee2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"t\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"6\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u4e00\u4e2a\u7279\u5b9a\u7684\u65f6\u523b\u3002 <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-816b613a4f79d4bf9cb51396a9654120_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"13\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u963b\u5c3c\u6b63\u5f26\u6ce2\u7684\u521d\u59cb\u5e45\u5ea6\u3002 <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-8c37d2f1acb1d49f3e5e655797880475_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lambda\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u4e0d\u65ad\u7684\u8150\u70c2\u3002 <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-fbffdce91996e0a17795d82e8e6996d9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\omega\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u963b\u5c3c\u6b63\u5f26\u8109\u52a8\u3002 <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-ea4b44819badec53f472a0cf6b6c8164_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\varphi\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"11\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u662f\u6ce2\u7684\u521d\u59cb\u9636\u6bb5\u3002<\/span><\/li>\n<\/ul>\n<p>\u8fd9\u4e9b\u7c7b\u578b\u7684\u6ce2\u5728\u5de5\u7a0b\u4e2d\u7ecf\u5e38\u7528\u4e8e\u8868\u793a\u80fd\u91cf\u635f\u5931\u901f\u5ea6\u5feb\u4e8e\u4f9b\u5e94\u80fd\u91cf\u901f\u5ea6\u7684\u7535\u5b50\u7cfb\u7edf\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u672c\u6587\u89e3\u91ca\u4e86\u4ec0\u4e48\u662f\u6b63\u5f26\u6ce2\u53ca\u5176\u53c2\u6570\u3002\u6b64\u5916\uff0c\u60a8\u5c06\u80fd\u591f\u770b\u5230\u6b63\u5f26\u6ce2\u3001\u4f59\u5f26\u6ce2\u548c\u963b\u5c3c\u6b63\u5f26\u6ce2\u4e4b\u95f4\u7684\u533a\u522b\u3002 \u4ec0\u4e48\u662f\u6b63\u5f26\u6ce2\uff1f \u6b63\u5f26 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/physigeek.com\/cn\/%e6%ad%a3%e5%bc%a6%e6%b3%a2\/\"> <span class=\"screen-reader-text\">\u6b63\u5f26\u6ce2\uff08\u6b63\u5f26\u6ce2\uff09<\/span> \u67e5\u770b\u5168\u6587 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