{"id":3360,"date":"2020-04-11T18:57:55","date_gmt":"2020-04-11T10:57:55","guid":{"rendered":"http:\/\/101.37.83.176\/?p=3360"},"modified":"2022-09-06T14:15:26","modified_gmt":"2022-09-06T06:15:26","slug":"return-period-conversion-of-wind-speed","status":"publish","type":"post","link":"http:\/\/101.37.83.176\/?p=3360","title":{"rendered":"\u98ce\u901f\u7684\u91cd\u73b0\u671f\u6362\u7b97"},"content":{"rendered":"

\u5199\u5728\u524d\u9762\u7684\u8bdd<\/p>\n

\u719f\u6089\u7684\u8001\u4f19\u4f34\uff0c\u90fd\u77e5\u9053\u5199\u5728\u524d\u9762\u7684\u8bdd\uff0c\u7ecf\u5e38\u662f\u9898\u5916\u8bdd\uff0c\u4e0d\u8fc7\u4f3c\u4e4e\u611f\u5174\u8da3\u7684\u4eba\u66f4\u591a\u3002\u4eca\u5929\u4e5f\u5148\u6765\u70b9\u9898\u5916\u8bdd\u3002
\n\u4e00\u822c\u53ef\u4ee5\u8ba4\u4e3a\uff0c\u6d3b\u8377\u8f7d\u3001\u98ce\u8377\u8f7d\u3001\u96ea\u8377\u8f7d\u7b26\u5408\u6781\u503cI\u578b\u5206\u5e03\uff08Gumbel\u5206\u5e03\uff09\u3002\u90a3\u4e48\u80a1\u5e02\u7684\u4f30\u503c\u4f1a\u662f\u4ec0\u4e48\u5206\u5e03\u5462\uff1f<\/p>\n

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

\u6ce8\uff1a\u8fd9\u662f2013\u5e74\u673a\u5668\u55b5\u5148\u751f\u5206\u6790\u7684\u7ed3\u679c\u3002\uff08\u5176\u5b9eA\u80a1\u5206\u6790\u5b58\u5728\u4e00\u4e2a\u95ee\u9898\uff0c\u4e0a\u8bc1\u7efc\u6307\u662f\u5931\u771f\u7684\u65e0\u6cd5\u53cd\u5e94\u5168\u5e02\u573a\u7684\u60c5\u51b5\u3002\uff09<\/em><\/p>\n

\u611f\u5174\u8da3\u7684\u53ef\u4ee5\u7ee7\u7eed\u7814\u7a76\u4e00\u4e0b\u3002\u8bdd\u8bf4\uff0c\u6570\u5b66\u7684\u786e\u662f\u6211\u4eec\u8ba4\u8bc6\u4e16\u754c\u7684\u597d\u5de5\u5177\u3002\u672c\u4eba\u60ed\u6127\uff0c\u5b66\u827a\u4e0d\u7cbe\uff0c\u7f8e\u597dE=MC2<\/sup>\u7684\u7cbe\u795e\u5883\u754c\u4ee4\u4eba\u5411\u5f80\u3002
\n\u597d\u4e86\uff0c\u56de\u5230\u6b63\u9898\u3002<\/p>\n

\n

\u5e74\u6700\u5927\u98ce\u901f\u5206\u5e03\u53ef\u4ee5\u8ba4\u4e3a\u7b26\u5408\u6781\u503cI\u578b\u5206\u5e03\uff08Gumbel\u5206\u5e03\uff09<\/p>\n

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

\u5206\u5e03\u51fd\u6570\u4e3a
\n G_I(x)=e^{-e^{-y(x)}} <\/span>
\n\u8868\u793a\u4efb\u610f\u5e74\u4efd\u7684\u6781\u503cxi<\/sub>\u5c0f\u4e8e\u4efb\u610f\u9009\u5b9a\u503cx\u7684\u6982\u7387\u3002\u5176\u4e2d\uff0c
\n y=\\alpha(x-\\mu) <\/span>
\n \\alpha=\\dfrac{C_1}{\\sigma} <\/span>
\n \\mu=\\bar{x}-\\dfrac{C_2}{\\alpha} <\/span>
\n\u5176\u4e2d\uff0c\\bar{x}<\/span>\u548c\u03c3\u5206\u522b\u4e3an\u4e2a\u5e74\u5ea6\u6781\u503cxi<\/sub>\u7684\u5e73\u5747\u503c\u548c\u6807\u51c6\u5dee\u3002\u53d8\u5f02\u7cfb\u6570\u4e3a \\nu=\\dfrac{\\delta}{\\bar{x}} <\/span>
\n\u53ef\u4ee5\u770b\u51faC1<\/sub>\u548cC2<\/sub>\u5176\u5b9e\u5206\u522b\u5c31\u662fy\u7684\u6807\u51c6\u5dee\u548c\u5e73\u5747\u503c\uff0c\u5b83\u4e0e\u89c2\u6d4b\u5e8f\u5217\u7684\u957f\u5ea6n\u6709\u5173\u3002<\/p>\n

x\u7684\u5e74\u8d85\u8d8a\u6982\u7387\u4e3a
\n G(x)=1-G_I(x) <\/span><\/p>\n

\u91cd\u73b0\u671f\u4e3a\u8d85\u8d8a\u6982\u7387\u7684\u5012\u6570
\n T(x)=\\dfrac{1}{G(x)} <\/span><\/p>\n

\u5c06GI<\/sub>(x)\u5e26\u5165\uff0c\u5f97
\n \\dfrac{1}{T}=1-e^{-e^{-y}} <\/span><\/p>\n

\u4e24\u4fa7\u53d6\u5bf9\u6570\uff0c\u5f97
\n y=-\\ln(-ln{(1-\\dfrac{1}{T}})) <\/span>
\n\u53ef\u4ee5\u770b\u51fa\uff0c\u91cd\u73b0\u671fT\u4e0d\u4f9d\u8d56\u4e8ex\u7684\u5747\u503c\u548c\u6807\u51c6\u5dee\u3002
\n\u53e6\u5916\uff0c\u5f53T\u6bd4\u8f83\u5927\u65f6\uff0c\u53ef\u7531\u6cf0\u52d2\u5c55\u5f00\u516c\u5f0f\u7b80\u5316\uff0c<\/em>y<\/em>\u2248lnT<\/p>\n

\u91cd\u73b0\u671f\u4e3aT\u7684\u6700\u5927\u98ce\u901fx\u53ef\u4ee5\u8868\u8fbe\u4e3a\uff1a
\n x=\\mu-\\dfrac{y}{\\alpha} <\/span>
\n x=\\bar{x}-\\dfrac{\\sigma}{C_1}(C_2-y) <\/span>
\n x=\\bar{x}\\left(1+\\dfrac{\\delta}{\\bar{x}}(\\dfrac{y-C_2}{C_1})\\right) <\/span>
\n x=\\bar{x}\\left(1+\\nu\\dfrac{y-C_2}{C_1}\\right) <\/span><\/p>\n

\u8bbe
\n K_{sp}=\\dfrac{\\nu}{C_1-C_2\\nu} <\/span><\/p>\n

\u5219\u5404\u91cd\u73b0\u671f\u4e0e50\u5e74\u91cd\u73b0\u671f\u7684\u8f6c\u6362\u7cfb\u6570\u53ef\u4ee5\u8868\u793a\u4e3a
\n C_{prob}=\\dfrac{x_T}{x_{50}}=\\dfrac{1-K_{sp}\\ln(-\\ln{\\left(1-\\dfrac{1}{T}\\right))}}{1-K_{sp}\\ln(-\\ln{\\left(1-\\dfrac{1}{50}\\right))}} <\/span>
\nCprob<\/sub>\u53ea\u4e0e\u91cd\u73b0\u671fT\u3001\u53d8\u5f02\u7cfb\u6570\u03bd\u3001\u6d4b\u91cf\u5e8f\u5217\u7684\u957f\u5ea6n\uff08\u6837\u672c\u5e74\u6570\uff09\u6709\u5173\u3002<\/p>\n

\n

\u5176\u4e2d\u5173\u4e8eC1<\/sub>\u548cC2<\/sub>\u7684\u8ba1\u7b97<\/strong><\/p>\n

\u53ef\u4ee5\u7528\u7ecf\u9a8c\u5206\u5e03\u51fd\u6570\uff08\u5b83\u5b9e\u9645\u5c31\u662f\u7d2f\u79ef\u9891\u7387\u76f4\u65b9\u56fe\u7684\u4e0a\u8fb9\uff09\u6765\u8fd1\u4f3cGI<\/sub>(x)\u3002
\n y\\left(x\\right)=-\\ln(-\\ln{\\left(G_I\\left(x\\right)\\right)}) <\/span><\/p>\n

\u5219y\u7684\u503c\u53ef\u53d6\u4e3a1\u5230n\u4e2azi<\/sub>\uff1a
\n z_i=-\\ln(-ln\\dfrac{i}{n+1}) <\/span><\/p>\n

\u5219\u6709
\n C_1=\\sigma_z=\\dfrac{1}{n}\\sum_{i=1}^{n}{(z_i-\\bar{z})}^2=\\dfrac{1}{n}\\sum_{i=1}^{n}{z_i^2-{\\bar{z}}^2} <\/span>
\n C_2=\\bar{z} <\/span>
\n\u5f53n\u65e0\u9650\u5927\u65f6\uff0c C_1=\\dfrac{\\pi}{\\sqrt{6}} <\/span> , C_2=0.57722 <\/span>\uff08\u4e3a\u6b27\u62c9\u5e38\u91cf\uff09<\/p>\n

\n

\u5de5\u7a0b\u5b9e\u8df5\u4e2d\u5404\u91cd\u73b0\u671f\u98ce\u901f\u4e0e50\u5e74\u91cd\u73b0\u671f\u7684\u8f6c\u6362\u53ef\u4ee5\u53c2\u8003\u4ee5\u4e0b\u60c5\u51b5\uff1a<\/p>\n

1. \u5728EN50341-1\u4e2d\uff0c\u91c7\u7528\u4e0a\u9762\u7684\u63a8\u5bfc\u7684\u516c\u5f0f\uff0c\u5176\u4e2d\u98ce\u901f\u7684\u53d8\u5f02\u7cfb\u6570\u53d60.12\uff0c\u89c2\u6d4b\u6570\u636e\u53d630\u5e74\uff0c\u5219Ksp<\/sub>=0.114\u3002\u8f6c\u6362\u7cfb\u6570\u4e3a
\n C_{prob}=0.692-0.079ln(-ln(1-\\dfrac{1}{T})) <\/span><\/p>\n

2. \u5728ASCE7\u4e2d\uff0c\u6839\u636e\u6587\u732ePeterka, J.A., and Shahid, S. (1998). Design gust wind speeds in the United States. J. Struct. Eng. 124(2), 207\u2013214.\u3002\u5bf9\u4e8e\u975e\u98d3\u98ce\u533a\u8f6c\u6362\u7cfb\u6570\u4e3a
\n C_{prob}=0.36+0.10ln(12T) <\/span><\/p>\n

3. \u5728\u4e2d\u56fd\u89c4\u8303\u4e2d\uff0c\u6839\u636e\u6587\u732e\u300a\u7ed3\u6784\u98ce\u5de5\u7a0b\uff1a\u7406\u8bba\u89c4\u8303\u5b9e\u8df5\u300b\u3002\u8f6c\u6362\u7cfb\u6570\u4e3a
\n C_{prob}=\\sqrt{\\dfrac{(0.363log{T}+0.463)}{1.08}} <\/span><\/p>\n

4. \u5728EN1991-1-4\u4e2d\uff0c\u98ce\u538b\u7684\u53d8\u5f02\u7cfb\u6570\u53d624\uff0c\u89c2\u6d4b\u6570\u636e\u53d6\u65e0\u7a77\u3002\u8f6c\u6362\u7cfb\u6570\u4e3a
\n C_{prob}=\\sqrt{0.562-0.112ln(-ln(1-\\dfrac{1}{T}))} <\/span>
\n\uff08P.S. \u5bf9\u4e8eEuorcode1\u7684\u5982\u6b64\u5904\u7406\u672c\u4eba\u5b58\u7591\uff1f\u957f\u91cd\u73b0\u671f\u7684\u98ce\u901f\u4f1a\u660e\u663e\u504f\u5c0f\u3002\u6709\u77e5\u9053\u539f\u56e0\u7684\u5927\u795e\u53ef\u4ee5\u6765\u8bb2\u8bb2\uff09<\/em><\/p>\n

\u5404\u91cd\u73b0\u671f\u98ce\u901f\u4e0e50\u5e74\u91cd\u73b0\u671f\u7684\u8f6c\u6362\u7cfb\u6570\u5982\u4e0b\u6240\u793a<\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
\u91cd\u73b0\u671f<\/td>\nEN50341-1, \u03bd=0.12<\/td>\nGB<\/td>\nASCE7<\/td>\nEN1991-1-4<\/td>\n<\/tr>\n
3<\/td>\n0.76<\/td>\n0.77<\/td>\n0.72<\/td>\n0.81<\/td>\n<\/tr>\n
50<\/td>\n1.00<\/td>\n1.00<\/td>\n1.00<\/td>\n1.00<\/td>\n<\/tr>\n
100<\/td>\n1.06<\/td>\n1.05<\/td>\n1.07<\/td>\n1.04<\/td>\n<\/tr>\n
150<\/td>\n1.09<\/td>\n1.08<\/td>\n1.11<\/td>\n1.06<\/td>\n<\/tr>\n
200<\/td>\n1.11<\/td>\n1.10<\/td>\n1.14<\/td>\n1.08<\/td>\n<\/tr>\n
300<\/td>\n1.14<\/td>\n1.12<\/td>\n1.18<\/td>\n1.10<\/td>\n<\/tr>\n
400<\/td>\n1.17<\/td>\n1.14<\/td>\n1.21<\/td>\n1.11<\/td>\n<\/tr>\n
500<\/td>\n1.18<\/td>\n1.16<\/td>\n1.23<\/td>\n1.12<\/td>\n<\/tr>\n
600<\/td>\n1.20<\/td>\n1.17<\/td>\n1.25<\/td>\n1.13<\/td>\n<\/tr>\n
700<\/td>\n1.21<\/td>\n1.18<\/td>\n1.26<\/td>\n1.14<\/td>\n<\/tr>\n
800<\/td>\n1.22<\/td>\n1.19<\/td>\n1.28<\/td>\n1.15<\/td>\n<\/tr>\n
900<\/td>\n1.23<\/td>\n1.19<\/td>\n1.29<\/td>\n1.15<\/td>\n<\/tr>\n
1000<\/td>\n1.24<\/td>\n1.20<\/td>\n1.30<\/td>\n1.16<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\n

\u5c0f\u77e5\u8bc6\uff1a\u8bbe\u8ba1\u57fa\u51c6\u671f\u3001\u91cd\u73b0\u671f\u3001\u8bbe\u8ba1\u4f7f\u7528\u5e74\u9650\u95f4\u7684\u5173\u7cfb\u3002<\/strong><\/p>\n

\u91cd\u73b0\u671fT\u4e3a\u67d0\u4e8b\u4ef6\u51fa\u73b0\u6216\u53d1\u751f\u7684\u5e73\u5747\u65f6\u95f4\u95f4\u9694\u3002<\/p>\n

\u8bbe\u8ba1\u57fa\u51c6\u671fN\uff08\u662f\u8861\u91cf\u57fa\u51c6\uff0c\u9009\u5b9a\u540e\u4e0d\u53d8\uff0c\u4e00\u822c\u4e3a50\u5e74\uff09\u5185\u7684\u8d85\u8d8a\u6982\u7387\u4e3a
\n P_N=1-(1-\\dfrac{1}{T})N <\/span>
\n\u82e5\u5e74\u8d85\u8d8a\u6982\u73872%\u5373\u91cd\u73b0\u671fT=50\u5e74\uff0c\u8bbe\u8ba1\u57fa\u51c6\u671fN=50\u5e74\uff0c\u5219PN<\/sub>=63%<\/p>\n

\u8bbe\u8ba1\u4f7f\u7528\u5e74\u9650L\uff08\u6839\u636e\u4e1a\u4e3b\u8981\u6c42\u786e\u5b9a\uff0c\u4e00\u822c\u4e3a50\u5e74\u6216100\u5e74\uff09\u5185\u7684\u8d85\u8d8a\u6982\u7387\u4e3a
\n P_L=1-(1-\\dfrac{1}{T})L <\/span>
\n\u79fb\u9879\u540e\u4e24\u8fb9\u53d6\u5bf9\u6570
\n ln(1-\\dfrac{1}{T})=\\dfrac{ln(1-P_L)}{L} <\/span>
\n\u5f53T\u8f83\u5927\u65f6\uff0c\u7531\u6cf0\u52d2\u5c55\u5f00\u516c\u5f0f\uff0c ln(1-\\dfrac{1}{T})\\approx-\\dfrac{1}{T} <\/span>
\n T\u2248-\\dfrac{L}{ln(1-P_L)} <\/span><\/p>\n

\u4ee4\uff0c\u8bbe\u8ba1\u4f7f\u7528\u5e74\u9650L\u5185\u7684\u8d85\u8d8a\u6982\u7387\u4e0e50\u5e74\u8bbe\u8ba1\u57fa\u51c6\u671f\u5185\u7684\u8d85\u8d8a\u6982\u7387\u5177\u6709\u76f8\u540c\u7684\u6c34\u5e73
\n T\\approx-\\dfrac{L}{ln(1-63\\%)} <\/span>
\n\u5219\u6709T\u2248L\uff0c\u5373\u91cd\u73b0\u671f\u53ef\u53d6\u4e3a\u4e0e\u8bbe\u8ba1\u4f7f\u7528\u5e74\u9650\u76f8\u540c\u3002
\n\u4f8b\u5982\u8bbe\u8ba1\u4f7f\u7528\u5e74\u9650\u53d6100\u5e74\u65f6\uff0c\u5bf9\u4e8e\u98ce\u8f7d\u91c7\u7528100\u5e74\u91cd\u73b0\u671f\u7684\u98ce\u8377\u8f7d\u5373\u53ef\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"

\u98ce\u901f\u7684\u91cd\u73b0\u671f\u6362\u7b97<\/p>\n","protected":false},"author":1,"featured_media":4229,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"ngg_post_thumbnail":0,"footnotes":""},"categories":[132,19,27],"tags":[105,195,15],"class_list":["post-3360","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-principle","category-eurocodes","category-us-codes","tag-wind-engineering","tag-return-period","tag-wind-load"],"_links":{"self":[{"href":"http:\/\/101.37.83.176\/index.php?rest_route=\/wp\/v2\/posts\/3360","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/101.37.83.176\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/101.37.83.176\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/101.37.83.176\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/101.37.83.176\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=3360"}],"version-history":[{"count":0,"href":"http:\/\/101.37.83.176\/index.php?rest_route=\/wp\/v2\/posts\/3360\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"http:\/\/101.37.83.176\/index.php?rest_route=\/wp\/v2\/media\/4229"}],"wp:attachment":[{"href":"http:\/\/101.37.83.176\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=3360"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/101.37.83.176\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=3360"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/101.37.83.176\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=3360"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}