振動頻率法在實際索力測試中的應用案例分析目錄TOC\o"1-3"\h\u25151振動頻率法在實際索力測試中的應用案例分析 [57]通過實測，給出了溫度變化和拉索頻率變化的關系方程，提高了拉索頻率的測量精度。以上兩種方法均可為減小溫度對拉索頻率測量的影響的途徑提供寶貴的參考。1.5實測索力與目標索力比較本項目共采集了兩次拉索的頻率值，第一次采集對應于工況為：全部拉索張拉完畢，鋼縱梁拆除支架之前。第二次采集對應的工況為：拆除鋼縱梁全部支架后?，F(xiàn)場索力測試得到拉索的基頻，索力通過索力實用計算公式（3-54）進行計算后，現(xiàn)將本橋的兩階段所有吊桿的真實索力與模型計算理論結果列出，并進行對比分析。具體見表4-4、表4-5以及圖4-16~圖4-19。表4-4拆除支架前吊桿實測索力和模型計算理論索力對比吊桿編號線密度m(kg/m)基頻f(Hz)索長l(m)抗彎剛度EI(N·m2)實測索力T(kN)模型計算索力T0(kN)誤差%NW-011.77.8139.170230366.1559.7710.7NW-021.76.73512.7662303116.83113.443.0NW-031.73.68216.052230353.7658.28-7.8NW-041.71.18619.0082303105.0691.5411.1NW-051.72.71421.595230355.5751.332.3NW-061.73.1123.912230391.1491.592.8NW-071.72.32525.920230360.5056.407.3NW-081.72.5627.638230386.4291.26-5.3NW-091.71.89929.056230351.2653.59-1.3NW-101.72.31330.135230381.3988.81-5.0NW-111.72.1230.904230371.1977.04-3.7NW-121.72.2431.333230385.8188.28-2.8NW-131.72.20131.463230383.1078.565.8SW-121.72.29631.293230390.1893.95-1.0SW-111.71.87430.844230356.4750.7811.2SW-101.72.38530.075230389.2687.022.6SW-091.71.81729.036230346.8052.43-10.7SW-081.72.59927.668230389.3091.63-2.5SW-071.72.32625.990230360.8756.028.7SW-061.73.12423.972230395.5492.323.5SW-051.72.76421.635230357.9855.611.3SW-041.73.84418.998230388.3893.03-5.0SW-031.73.42816.072230346.3951.72-15.2SW-021.76.73212.7962303117.26112.833.9SW-011.77.6549.170230363.6560.625.0NE-011.77.6349.180230363.9262.751.9NE-021.76.42912.7562303101.5898.835.8NE-031.73.82916.022230358.0759.87-3.0NE-041.71.18218.9782303101.5995.469.6NE-051.72.7421.595230356.7051.913.2NE-061.73.00723.892230387.8791.93-1.4NE-071.72.62425.920230378.6077.201.8NE-081.72.71627.618230397.1291.076.6NE-091.71.84929.036230348.5353.69-9.6NE-101.72.37630.135230389.0889.55-0.5NE-111.72.1630.894230376.8471.563.1NE-121.72.18231.343230381.4787.99-7.4NE-131.72.0531.463230372.0176.80-6.2SE-121.72.3731.303230396.1493.692.6SE-111.72.14630.864230375.4870.577.0SE-101.72.38430.115230389.4487.072.7吊桿編號線密度m(kg/m)基頻f(Hz)索長l(m)抗彎剛度EI(N·m2)實測索力T(kN)模型計算索力T0(kN)誤差%SE-091.71.98629.056230355.9551.748.1SE-081.72.56327.668230386.8291.32-1.9SE-071.72.29325.990230359.1355.646.3SE-061.73.09423.972230393.7993.530.3SE-051.72.77221.645230358.6759.28-1.0SE-041.73.82619.038230388.0391.19-6.5SE-031.73.46416.072230347.5857.05-16.6SE-021.76.12112.816230395.7498.48-2.8SE-011.77.6749.230230365.5763.233.7圖4-16張拉完畢拆除支架前階段西側吊桿索力比較情況圖4-17張拉完畢拆除支架前階段東側吊桿索力比較情況由表4-4，圖4-16、圖4-17可以看出張拉完畢拆除支架前階段吊桿索力的實測值和模型計算理論值的誤差基本在5%左右，個別吊桿因為實測環(huán)境或者建造技術和施工方面的偏差，導致誤差超過了10%。表4-5成橋階段吊桿實測索力和模型計算理論索力對比吊桿編號線密度m(kg/m)基頻f(Hz)索長l(m)抗彎剛度EI(N·m2)實測索力T(kN)模型計算索力T0(kN)誤差%NW-011.79.7099.1702303113.81112.810.9NW-021.77.59812.7662303152.36142.377.0NW-031.73.99816.052230365.5280.05-18.1NW-041.71.16619.0082303105.55111.28-7.6NW-051.72.97321.595230368.2673.33-6.9NW-061.73.15723.912230398.10110.53-11.2NW-071.72.53125.920230373.0175.11-2.8NW-081.72.85627.6382303108.59109.71-1.0NW-091.72.30129.056230376.5471.946.4NW-101.72.57230.1352303105.28107.18-1.8NW-111.72.50430.9042303101.5895.309.7NW-121.72.531.3332303107.81106.511.2NW-131.72.37431.463230397.6496.920.7SW-121.72.62631.2932303118.92112.585.6SW-111.72.13430.844230371.5069.836.7SW-101.72.68130.0752303113.89106.516.9SW-091.72.13729.036230365.9171.69-8.1SW-081.72.79927.6682303101.58110.80-5.6SW-071.72.45725.990230369.2075.30-8.1SW-061.73.25723.9722303105.04111.84-6.1SW-051.73.21221.635230380.1675.416.3SW-041.71.4818.9982303121.91113.97.0SW-031.71.4916.072230382.7378.445.5SW-021.77.44212.7962303147.13141.331.9SW-011.79.9349.1702303121.00115.861.4NE-011.710.159.1802303126.77116.239.1NE-021.77.4112.7562303143.12128.2311.6NE-031.71.33416.022230376.8481.54-5.8NE-041.71.35918.9782303115.19111.470.6NE-051.72.98721.595230368.8672.77-5.4NE-061.73.11123.892230395.04109.32-13.1NE-071.72.92925.920230399.1091.451.9NE-081.72.93327.6182303111.28108.385.4NE-091.72.30729.036230376.7871.088.0NE-101.72.53430.1352303102.18106.82-1.3NE-111.72.50730.8942303101.5791.7311.0NE-121.72.49831.3432303107.65105.132.4吊桿編號線密度m(kg/m)基頻f(Hz)索長l(m)抗彎剛度EI(N·m2)實測索力T(kN)模型計算索力T0(kN)誤差%NE-131.72.41531.4632303100.9091.007.3SE-121.72.52831.3032303110.22111.04-0.7SE-111.72.34830.864230391.3788.183.6SE-101.72.66130.1152303112.43101.977.1SE-091.72.20329.056230370.0369.570.7SE-081.72.68327.668230396.02109.12-12.0SE-071.72.60325.990230377.5673.545.5SE-061.73.37823.9722303112.99111.841.0SE-051.73.22321.645230381.0178.193.6SE-041.71.49219.0382303123.13111.347.7SE-031.71.4916.072230382.879.963.7SE-021.77.35412.8162303142.49128.9010.5SE-011.79.7