基于强度稳定综合理论的船体结构极限强度研究
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摘要
历史上结构的强度理论和稳定理论是彼此分割，毫无联系的。80年代初期罗培林提出的强度稳定综合理论(CTSS)将结构的强度理论和稳定理论有力的综合到一起，并且运用该理论解决了耐压球壳极限强度预测的世界著名难题。目前，该理论正在完善之中，且应用的领域仍局限在耐压球壳方面。有监于此，本文以CTSS为研究对象，主要完成以下几方面的工作内容：
(1)通过钢材HT32和Q235的具体应用，说明采用PL模型描述材料的应力—应变关系、应力—切影应变关系和切线模量因子曲线的适用性，由PL模型导出的比例极限算式，可以快速准确的求出材料比例极限的数值，为材料比例极限的确定提供了有效方法。
(2)提出简易PL模型，并且推导出简易PL模型与Jobnson—Ostenfeld的塑性修正公式以及规范公式具有相同的数学表达形式。
(3)通过对梁柱复杂弯曲综合因子n的具体解算表明，综合因子n的取值可以将结构的强度破坏和稳定破坏有力的综合到一起，综合因子n的解析式不仅证明了罗培林提出的结构“强度稳定综合理论”的正确性，也为CTSS的可行性指明了道路。
(4)通过结构力学中辅助函数算法印证了结构“强度稳定综合理论”的正确性。
(5)通过对矩形板结构综合因子n解析式的类比分析，将CTSS拓展到船体结构极限强度计算上，并且与有限元法、经验公式和试验等方法作对比分析。
(6)改进了加筋板极限强度破坏模式的选取方法，探讨了该选取方法在板架结构极限强度计算领域应用的可行性。
(7)对弹性基础梁结构的综合因子N进行了修正解算，完善了CTSS在耐压壳结构极限强度计算中的理论公式，并且与试验结果作对比分析。
本文系统论述了CTSS的计算原理，弥补了CTSS在综合因子n解析式上的不足，并将其拓扩展到船体结构极限强度的计算上，为船体结构极限强度的预测提供了一种新的计算方法，该方法与有限元法、经验公式和试验等方法的比较结果表明，CTSS在船体结构极限强度计算上的推广是成功的。
The stability theory is completely separated from the strength theory in history. In theearly1980s，combined theory of strength and stability(CTSS) which is put forward by LuoPeilin shows that the stability theory is powerfully integrated into the strength theory. And hesolved the world-famous problem of ultimate strength prediction on the pressure sphericalshell by using it.At present, CTSS is still being improved. And its application areas are limitedin terms of pressure spherical shell. This thesis aims at improvement of CTSS, mainlyconsists of the following aspects:
(1) It is applicable to use the PL model to describe the stress–strain curve, stress–shear strain curve and tangent modulus factor curve of the material such asSteel HT32and Q235.The proportional limit formula which is exported by the PL model,can calculate the value of the material proportional limit quickly and accurately. Itprovides an effective method for the determination of material proportional limit.
(2) The simple PL model is put forward and it is concluded that the simple PL model isconsistent with the Jobnson—Ostenfeld’s plastic correction formula and rules.
(3) Value calculations of n-factor show that the stability theory is powerfully integrated intothe strength theory. The analytical formulas of n-factor prove that combined theory ofstrength and stability(CTSS) which is put forward by Luo Peilin is correct. It Also pointsthe way to the feasibility of CTSS
(4) CTSS is also confirmed by auxiliary function method in the classical structural mechanics.
(5) Through n-factor’s analogy analysis of plate, CTSS was able to expand on the calculationof the ultimate strength of hull structure. And compares the project calculation results withthe finite element method, empirical formula and test.
(6) Improves the selection of the ultimate strength failure mode of stiffened plate anddiscusses the feasibility that this selection method is applied to ultimate strengthcalculation of ship grillage structure.
(7) Through N-factor’s correction calculation of elastic foundation beam structure, the theoretical formula is improved on ultimate strength calculation of the pressure shell. Andcompares the calculation results with test.
This thesis systematically discusses calculation principles of CTSS. Through n-factoranalogy analysis of plate, CTSS was able to expand on the ultimate strength calculation ofhull structure. This is a new calculation method for the ultimate strength prediction of hullstructure. Comparing the project calculation results from the finite element method, empiricalformula and test, the application and extension of CTSS on hull structure are successful.
(1)通过钢材HT32和Q235的具体应用，说明采用PL模型描述材料的应力—应变关系、应力—切影应变关系和切线模量因子曲线的适用性，由PL模型导出的比例极限算式，可以快速准确的求出材料比例极限的数值，为材料比例极限的确定提供了有效方法。
(2)提出简易PL模型，并且推导出简易PL模型与Jobnson—Ostenfeld的塑性修正公式以及规范公式具有相同的数学表达形式。
(3)通过对梁柱复杂弯曲综合因子n的具体解算表明，综合因子n的取值可以将结构的强度破坏和稳定破坏有力的综合到一起，综合因子n的解析式不仅证明了罗培林提出的结构“强度稳定综合理论”的正确性，也为CTSS的可行性指明了道路。
(4)通过结构力学中辅助函数算法印证了结构“强度稳定综合理论”的正确性。
(5)通过对矩形板结构综合因子n解析式的类比分析，将CTSS拓展到船体结构极限强度计算上，并且与有限元法、经验公式和试验等方法作对比分析。
(6)改进了加筋板极限强度破坏模式的选取方法，探讨了该选取方法在板架结构极限强度计算领域应用的可行性。
(7)对弹性基础梁结构的综合因子N进行了修正解算，完善了CTSS在耐压壳结构极限强度计算中的理论公式，并且与试验结果作对比分析。
本文系统论述了CTSS的计算原理，弥补了CTSS在综合因子n解析式上的不足，并将其拓扩展到船体结构极限强度的计算上，为船体结构极限强度的预测提供了一种新的计算方法，该方法与有限元法、经验公式和试验等方法的比较结果表明，CTSS在船体结构极限强度计算上的推广是成功的。
The stability theory is completely separated from the strength theory in history. In theearly1980s，combined theory of strength and stability(CTSS) which is put forward by LuoPeilin shows that the stability theory is powerfully integrated into the strength theory. And hesolved the world-famous problem of ultimate strength prediction on the pressure sphericalshell by using it.At present, CTSS is still being improved. And its application areas are limitedin terms of pressure spherical shell. This thesis aims at improvement of CTSS, mainlyconsists of the following aspects:
(1) It is applicable to use the PL model to describe the stress–strain curve, stress–shear strain curve and tangent modulus factor curve of the material such asSteel HT32and Q235.The proportional limit formula which is exported by the PL model,can calculate the value of the material proportional limit quickly and accurately. Itprovides an effective method for the determination of material proportional limit.
(2) The simple PL model is put forward and it is concluded that the simple PL model isconsistent with the Jobnson—Ostenfeld’s plastic correction formula and rules.
(3) Value calculations of n-factor show that the stability theory is powerfully integrated intothe strength theory. The analytical formulas of n-factor prove that combined theory ofstrength and stability(CTSS) which is put forward by Luo Peilin is correct. It Also pointsthe way to the feasibility of CTSS
(4) CTSS is also confirmed by auxiliary function method in the classical structural mechanics.
(5) Through n-factor’s analogy analysis of plate, CTSS was able to expand on the calculationof the ultimate strength of hull structure. And compares the project calculation results withthe finite element method, empirical formula and test.
(6) Improves the selection of the ultimate strength failure mode of stiffened plate anddiscusses the feasibility that this selection method is applied to ultimate strengthcalculation of ship grillage structure.
(7) Through N-factor’s correction calculation of elastic foundation beam structure, the theoretical formula is improved on ultimate strength calculation of the pressure shell. Andcompares the calculation results with test.
This thesis systematically discusses calculation principles of CTSS. Through n-factoranalogy analysis of plate, CTSS was able to expand on the ultimate strength calculation ofhull structure. This is a new calculation method for the ultimate strength prediction of hullstructure. Comparing the project calculation results from the finite element method, empiricalformula and test, the application and extension of CTSS on hull structure are successful.
引文
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