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#author("2025-10-29T13:17:47+09:00","default:kouzouken","kouzouken") #author("2025-11-19T13:49:33+09:00","default:kouzouken","kouzouken") [[FrontPage]] *弾塑性解析 [#q87913f0] -[[弾塑性解析2021:https://www.str.ce.akita-u.ac.jp/cgi-bin/pukiwiki/?Salome-Meca%E6%BC%94%E7%BF%92_%E5%BC%BE%E5%A1%91%E6%80%A7%E8%A7%A3%E6%9E%90%282021%29]] **継手有りモデル [#id6a1feb] 鋼板を互い違いに挿入し，継手を行ったモデル． 緑色の部分に仮想剤材を入れている． ,使用材料,ヤング率(N/mm^2),ポアソン比,降伏応力(N/mm^2) ,杉集成材,7500,0.4,24 ,ss400,206000,0.3,245 ,仮想材,1,0.4,- ,接着剤,750~7500,0.4,- https://www.str.ce.akita-u.ac.jp/~gotouhan/j2024/numano/a.png https://www.str.ce.akita-u.ac.jp/~gotouhan/j2024/numano/as.png https://www.str.ce.akita-u.ac.jp/~gotouhan/j2024/numano/aas.png . . ***荷重180kN [#re85b96c] https://www.str.ce.akita-u.ac.jp/~gotouhan/j2024/numano/hosoku.png 同じ鋼板を使用しているが応力変化の挙動が大きく異なる． →メッシュをかなり細かくしてみる 要素数47700 https://www.str.ce.akita-u.ac.jp/~gotouhan/j2024/numano/karui.png https://www.str.ce.akita-u.ac.jp/~gotouhan/j2024/numano/karu.png 要素数541670 https://www.str.ce.akita-u.ac.jp/~gotouhan/j2024/numano/omoi.png https://www.str.ce.akita-u.ac.jp/~gotouhan/j2024/numano/omo.png **継手なしモデル [#j2395e72] ,使用材料,ヤング率(N/mm^2),ポアソン比,降伏応力(N/mm^2) ,杉集成材,7500,0.4,24 ,ss400,206000,0.3,245 ***7/30 英語プレゼンで使用したデータ [#me9c0cbc] 応力-ひずみ https://www.str.ce.akita-u.ac.jp/~gotouhan/j2024/numano/stressstrain.png 応力-荷重 https://www.str.ce.akita-u.ac.jp/~gotouhan/j2024/numano/f.png 変位-荷重 https://www.str.ce.akita-u.ac.jp/~gotouhan/j2024/numano/deplload.png *** 7/10[#n4ccc1c7] 赤丸部分の拡大 https://www.str.ce.akita-u.ac.jp/~gotouhan/j2024/numano/34.png https://www.str.ce.akita-u.ac.jp/~gotouhan/j2024/numano/1234.png https://www.str.ce.akita-u.ac.jp/~gotouhan/j2024/numano/mihon.png 梁中央断面軸方向応力 https://www.str.ce.akita-u.ac.jp/~gotouhan/j2024/numano/danmen.png https://www.str.ce.akita-u.ac.jp/~gotouhan/j2024/numano/atai.png ,step,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20 ,変位①(mm),2.3315,4.6632,6.9953,9.3276,11.6602,13.9931,16.3261,18.6594,20.9929,23.3265,25.6603,27.9942,30.3283,32.6624,34.9966,37.3309,39.668,42.0625,44.6165,47.4795 ,ひずみ①($×10^{-2}$),0.00595,0.0119,0.0179,0.0238,0.0298,0.0357,0.0416,0.0476,0.0536,0.0595,0.0655,0.0714,0.0774,0.0833,0.0893,0.0952,0.1014,0.1109,0.1193,0.1317 ,応力①($N/mm^{2}$),14.5702,29.1415,43.714,58.2874,72.8618,87.4371,102.013,116.59,131.167,145.745,160.323,174.902,189.481,204.061,218.64,222.33,248.448,259.193,252.667,248.427 ,step,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20 ,変位②(mm),2.3308,4.6620,6.9934,9.3251,11.6571,13.9893,16.3217,18.6543,20.9871,23.320,25.6533,27.9865,30.3199,32.6534,34.987,37.320,39.657,42.0507,44.6038,47.4657 ,ひずみ②($×10^{-2}$),0.0061,0.0122,0.0183,0.0244,0.0305,0.0366,0.0427,0.0488,0.0549,0.0610,0.0671,0.0732,0.0793,0.0854,0.0915,0.0977,0.1038,0.1114,0.1218,0.1349 ,応力②($N/mm^{2}$),14.8656,29.7318,44.5987,59.4661,74.3339,89.202,104.07,118.939,133.808,148.677,163.546,178.414,193.283,208.151,223.019,237.886,252.849,252.781,246.426,244.384 ,step,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20 ,変位③(mm),2.3316,4.6636,6.9958,9.3283,11.6611,13.9941,16.3273,18.6607,20.9944,23.3282,25.6621,27.9962,30.3304,32.6648,34.9992,37.3336,39.6708,42.0657,44.62,47.4831 ,ひずみ③($×10^{-2}$),0.00629,0.0126,0.0189,0.0252,0.0315,0.0377,0.0440,0.0503,0.0566,0.0629,0.0692,0.0755,0.0818,0.0881,0.0944,0.1006,0.1073,0.1168,0.1261,0.1394 ,応力③($N/mm^{2}$),1.5623,3.1248,4.6873,6.2499,7.8125,9.3752,10.938,12.5008,14.0636,15.6265,17.1894,18.7523,20.3152,21.8781,23.441,25.0039,25.187,25.3905,25.4104,25.4612 ,step,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20 ,変位④(mm),2.3309,4.6621,6.9936,9.3254,11.6575,13.9897,16.3222,18.6549,20.9878,23.3209,25.6541,27.9875,30.321,32.6546,34.9883,37.322,39.6584,42.0525,44.6056,47.4675 ,ひずみ④($×10^{-2}$),0.00610,0.0122,0.0183,0.0244,0.0305,0.0366,0.0427,0.0488,0.0549,0.0610,0.0671,0.0732,0.0793,0.0855,0.0916,0.0977,0.1038,0.1113,0.1220,0.1361 ,応力④($N/mm^{2}$),1.4697,2.9395,4.4094,5.8794,7.3495,8.8196,10.2899,11.7602,13.2305,14.7009,16.1714,17.6419,19.1124,20.5829,22.0534,23.524,25.0041,25.8464,25.4042,24.7435 7/4 解析中に起きたエラー https://www.str.ce.akita-u.ac.jp/~gotouhan/j2024/numano/henkomae.png https://www.str.ce.akita-u.ac.jp/~gotouhan/j2024/numano/henkogo.png EXIT CODE=1で解析が途中で止まってしまう現象が発生した． 左の場合，Case View内に同じ名前が２つ存在するため(kou,moku)，右のように名前を少し変えてやると(kou→kou2,moku→moku2)解析がうまくいった． ***断面10mm×20mm，支間長100mmの単純梁の場合 [#q5fa8ee5] (梁中央上縁) https://www.str.ce.akita-u.ac.jp/~gotouhan/j2024/numano/1000.png ,step,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20 ,変位(mm)($×10^{-2}$),0.7484,1.4968,2.2454,2.9942,3.7430,4.4920,5.2411,5.9910,6.7438,7.5026,8.2747,9.0603,9.8578,10.6872,11.568,12.5619,13.7397,15.2308,17.3317,20.7907 ,ひずみ($×10^{-3}$),0.0704,0.1408,0.2112,0.2817,0.3521,0.4225,0.4930,0.5638,0.6360,0.7138,0.8101,0.9219,1.0417,1.1695,1.3074,1.1476,1.6764,1.9385,2.3078,2.9343 ,応力($N/mm^{2}$),21.2075,42.419,63.6345,84.8542,106.078,127.306,148.537,169.913,191.944,214.065,232.925,251.059,268.329,283.085,295.829,306.163,314.174,320.337,325.364,331.273 **9mm鋼板のサンドイッチ梁(接着剤要素有) [#t0d4b6a5] 今度は，鋼材と木材の間に接着剤の層を入れてみる． https://www.str.ce.akita-u.ac.jp/~gotouhan/j2024/numano/z.png 接着剤が理想的に働いている状態のヤング率を木材と同じ7.5GPa(100%)として，そこから木材の90%，80%，70%....というように接着剤のヤング率を10%まで落として，中央変位や軸応力が どう変化するのか見てみる． 使用したモデルはメッシュ80~1000，要素数17821，二次要素 接着剤と木材のヤング率が同じ場合の変位の理論値：36.99151mm ***中央変位 [#vc3261f3] ,接着剤ヤング率(MPa),750,1500,2250,3000,3750,4500,5250,6000,6750,7500 ,中央変位(mm),37.2902,37.2673,37.2476,37.2267,37.2148,37.1938,37.1755,37.1594,37.1414,37.1256 https://www.str.ce.akita-u.ac.jp/~gotouhan/j2024/numano/heni.png ***軸方向応力(N/mm^2) [#w5bd0ab0] ,接着剤ヤング率(MPa),鋼板部中央上縁,中央下縁,木材部中央上縁,中央下縁 ,750,-0.43866,0.98761,-8.01265,7.29462 ,1500,-1.14689,1.80518,-8.00443,7.29748 ,2250,-1.87946,2.59028,-7.99973,7.29808 ,3000,-2.71886,3.46471,-7.99536,7.29749 ,3750,-3.21468,3.97484,-7.99297,7.29675 ,4500,-4.10897,4.88807,-7.98882,7.29493 ,5250,-5.00007,5.62257,-8.00548,7.29588 ,6000,-5.60152,6.40071,-7.98211,7.29097 ,6750,-6.49989,7.12947,-7.99781,7.29167 ,7500,-7.09416,7.90557,-7.97551,7.28629 https://www.str.ce.akita-u.ac.jp/~gotouhan/j2024/numano/ouryoku2.png 解析を進めていく中で，要素数が大きくしたり接着剤のヤング率をいじったりしていたら以下のようなエラーが出ることがある． https://www.str.ce.akita-u.ac.jp/~gotouhan/j2024/numano/error.png こうなった場合，Analysis→MECA_STATIQUE→SOLVEURでRESI_RELAの部分の値をいじってやるか，エラーが出ないメッシュ範囲で解析し直すとうまくいった． **9mm鋼板のサンドイッチ梁 [#l772cca1] ・木材寸法 100×420×10000，90×420×10000 ・鋼板寸法 9×410×10000 https://www.str.ce.akita-u.ac.jp/~gotouhan/j2024/numano/gai.png 載荷荷重38000N スパン長9700mmの単純支持 理論値：37.15539mm 2次要素 ,メッシュサイズ,要素数,変位[mm],相対誤差[%] ,10~100(細),411032,37.28901,0.358 ,10~100,253894,37.28677,0.352 ,10~100(粗),160198,37.28509,0.348 ,30~1000,47802,37.2844,0.346 ,60~1000,15773,37.2778,0.328 ,100~100,8800,37.2592,0.279 ,100~1000,6780,37.2735,0.317 ,400~1000,615,37.1684,0.035 ,700~1000,494,37.0797,0.204 ２次要素と理論値の比較 https://www.str.ce.akita-u.ac.jp/~gotouhan/j2024/numano/bb.png 1次要素 ,メッシュサイズ,要素数,変位[mm],相対誤差[%] ,10~100(細),411032,36.68981,1.269 ,10~1000,253894,35.96008,3.324 ,10~100,253396,35.96224,3.318 ,10~100(粗),160198,35.82229,3.721 ,30~1000,47802,34.89152,6.488 ,60~1000,15773,31.84722,16.668 ,100~100,8800,32.42385,14.593 ,100~1000,6780,31.84722,16.668 ,400~1000,615,6.46085,475.09 １次要素と理論値の比較 https://www.str.ce.akita-u.ac.jp/~gotouhan/j2024/numano/tagai.png *春課題 [#j34df0ba] **片持ち梁 10✕10✕150mm 1次要素[#n967eef4] 水平一次 ,メッシュ長さ,要素数,実効値,相対誤差 ,0.7,178868,369.298,0.66 ,0.8,171787,369.457,0.70 ,0.9,163647,369.728,0.78 ,1,113203,371.174,1.16 ,2,22384,378.263,3.02 ,3,5769,394.15,6.93 ,4,5179,398.64,7.97 水平二次 ,メッシュ長さ,要素数,実効値,相対誤差 ,0.7,178868,2267.95,1.38 ,0.8,171787,2268.99,1.33 ,0.9,163647,2270.64,1.26 ,1,113203,2278.95,0.89 ,2,22384,2322.4,1.00 ,3,5769,2424.53,5.17 ,4,5179,2446.27,6.01 水平三次 ,メッシュ長さ,要素数,実効値,相対誤差 ,0.7,178868,6160.18,4.52 ,0.8,171787,6163.14,4.47 ,0.9,163647,6167.39,4.40 ,1,113203,6189.7,4.02 ,2,22384,6305.48,2.11 ,3,5769,6591.38,2.32 ,4,5179,6653.42,3.23 鉛直一次 ,メッシュ長さ,要素数,実効値,相対誤差 ,0.7,178868,369.405,0.69 ,0.8,171787,369.577,0.74 ,0.9,163647,369.838,0.81 ,1,113203,371.37,1.22 ,2,22384,378.567,3.09 ,3,5769,395.235,7.18 ,4,5179,401.376,8.60 鉛直二次 ,メッシュ長さ,要素数,実効値,相対誤差 ,0.7,178868,2268.57,1.35 ,0.8,171787,2269.71,1.30 ,0.9,163647,2271.38,1.22 ,1,113203,2279.99,0.84 ,2,22384,2323.33,1.04 ,3,5769,2430.63,5.41 ,4,5117,2454.02,6.31 鉛直三次 ,メッシュ長さ,要素数,実効値,相対誤差 ,0.7,178868,6162.24,4.48 ,0.8,171787,6165.22,4.43 ,0.9,163647,6169.59,4.36 ,1,113203,6193.15,3.96 ,2,22384,6309,2.05 ,3,5769,6598.86,2.43 ,4,5179,6665.25,3.40 ねじれ一次 ,メッシュ長さ,要素数,実効値,相対誤差 ,0.7,178868,4937.64,7.34 ,0.8,171787,4942.1,7.44 ,0.9,163647,4948.91,7.57 ,1,113203,4989.2,8.32 ,2,22384,5200.26,12.04 ,3,5769,5667.65,19.29 ,4,5179,5767.76,20.69 ねじれ二次 ,メッシュ長さ,要素数,実効値,相対誤差 ,0.7,178868,11592.3,1.21 ,0.8,171787,11597.7,1.26 ,0.9,163647,11606.4,1.33 ,1,113203,11646.8,1.68 ,2,22384,11868.5,3.51 ,3,5769,12372.8,7.45 ,4,5179,12493.1,8.34 **10✕10✕300mm 1次要素 [#b08f6a13] 水平一次 ,メッシュ長さ,要素数,実効値,相対誤差 ,0.7,347440,92.4662,0.81 ,0.8,358797,92.4691,0.82 ,0.9,357329,92.487,0.84 ,1,175810,93.3245,1.73 ,2,40650,94.6651,3.12 ,3,11556,99.1516,7.50 ,4,8408,101.565,9.70 水平二次 ,メッシュ長さ,要素数,実効値,相対誤差 ,0.7,347440,576.494,0.29 ,0.8,358797,576.501,0.30 ,0.9,357329,576.615,0.32 ,1,175810,581.829,1.21 ,2,40650,589.922,2.56 ,3,11556,617.765,6.96 ,4,8408,631.149,8.93 水平三次 ,メッシュ長さ,要素数,実効値,相対誤差 ,0.7,347440,1601.09,0.53 ,0.8,358797,1601.13,0.53 ,0.9,357329,1601.44,0.51 ,1,175810,1616.32,0.42 ,2,40650,1638.25,1.75 ,3,11556,1715.14,6.15 ,4,8408,1755.49,8.31 鉛直一次 ,メッシュ長さ,要素数,実効値,相対誤差 ,0.7,347440,92.4715,0.82 ,0.8,358797,92.477,0.83 ,0.9,357329,92.4975,0.85 ,1,175810,93.3877,1.79 ,2,40650,94.9325,3.39 ,3,11556,99.6802,7.99 ,4,8408,102.071,10.15 鉛直二次 ,メッシュ長さ,要素数,実効値,相対誤差 ,0.7,347440,576.526,0.30 ,0.8,358797,576.55,0.30 ,0.9,357329,576.681,0.33 ,1,175810,582.153,1.26 ,2,40650,591.321,2.79 ,3,11556,620.815,7.41 ,4,8408,635.485,9.55 鉛直三次 ,メッシュ長さ,要素数,実効値,相対誤差 ,0.7,347440,1601.22,0.52 ,0.8,358797,1601.25,0.52 ,0.9,357329,1601.6,0.50 ,1,175810,1616.94,0.45 ,2,40650,1642.46,2.00 ,3,11556,1722.55,6.56 ,4,8408,1771.58,9.14 ねじれ一次 ,メッシュ長さ,要素数,実効値,相対誤差 ,0.7,347440,2469.35,7.38 ,0.8,358797,2469.26,7.34 ,0.9,357329,2470.54,7.42 ,1,175810,2519.11,9.21 ,2,40650,2604.92,12.20 ,3,11556,2851.96,19.81 ,4,8408,2969.83,22.99 ねじれ二次 ,メッシュ長さ,要素数,実効値,相対誤差 ,0.7,347440,4263.02,34.31 ,0.8,358797,4263.03,34.31 ,0.9,357329,4263.02,34.31 ,1,175810,4263.09,34.31 ,2,40650,4263.73,34.29 ,3,11556,4264.16,34.28 ,4,8408,4264.83,34.25 *創造工房実習 [#w0df7772] 創造工房で顔合わせをした **11/1創造工房 [#o4ac100d] グラフを表示する方法を学んだ https://www.str.ce.akita-u.ac.jp/~gotouhan/j2024/numano/kadai1.png https://www.str.ce.akita-u.ac.jp/~gotouhan/j2024/numano/graph.png **11/8創造工房 [#c724ef84] https://www.str.ce.akita-u.ac.jp/~gotouhan/j2024/numano/katamochi.png **11/15創造工房 [#d1ff6eb0] https://www.str.ce.akita-u.ac.jp/~gotouhan/j2024/kunii24/tanjun.png **11/22 [#f54324c1] http://www.str.ce.akita-u.ac.jp/~gotouhan/j2024/morii/kadai1122.png
