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應(yīng)力圓的解析與圖解法證明

發(fā)布時間:2018-12-07 13:08
【摘要】:應(yīng)力圓以嚴(yán)格的應(yīng)力解析表達式為理論根據(jù).作為幾何圖形,應(yīng)力圓是應(yīng)力狀態(tài)直觀形象的載體,人們可以通過作圖的方法方便地獲得描述應(yīng)力狀態(tài)的有關(guān)參數(shù),即圖解法,這在計算工具尚不發(fā)達的年代很有價值.然而,圖解法存在的根本依據(jù)是應(yīng)力圓所具有的特性,深入系統(tǒng)地研究這些特性,可以深刻地揭示應(yīng)力圓的本質(zhì).為此,從應(yīng)力圓的理論構(gòu)成入手,深入分析應(yīng)力圓的理論表達式與幾何圖形的有機聯(lián)系,并對應(yīng)力圓圖解法進行系統(tǒng)證明.
[Abstract]:The stress circle is based on the strict analytical expression of stress. As a geometric figure, stress circle is the carrier of the visual image of stress state. People can conveniently obtain some parameters describing stress state by drawing method, that is, graphic method, which is very valuable in the age of undeveloped calculation tools. However, the fundamental basis for the existence of the graphic method is the characteristics of the stress circle. A thorough and systematic study of these characteristics can deeply reveal the nature of the stress circle. Therefore, starting with the theoretical composition of the stress circle, the organic relation between the theoretical expression of the stress circle and the geometry is deeply analyzed, and the graphic method of the stress circle is systematically proved.
【作者單位】: 解放軍理工大學(xué)爆炸沖擊防災(zāi)減災(zāi)國家重點實驗室;
【基金】:國家自然科學(xué)基金(51378498,51578541) 江蘇省自然科學(xué)基金(BK20141066)資助項目
【分類號】:O31
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本文編號:2367257

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