平面弹性“坝-基”体系的动力计算

K. Salyamova
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引用次数: 0

摘要

土坝的设计、施工和可靠安全运行(乌兹别克斯坦共和国有60多座土坝处于地震带)对荷载计算方法的不断改进提出了要求;根据基本(静态)和特殊(动态)负载组合的调节方法的要求。这些调节方法没有考虑到土坝在恒定或临时荷载作用下的非均质性和基础特性的分段非均质性,以及土坝的应力-应变状态(SSS),而这些对于可靠和安全运行是必要的,特别是在地震区。用平面弹性公式给出了土坝问题的一般数学表达式。考虑土坝的设计特点和结构体及基础土体的实际分段非均质物理力学特性(这些特性由设计机构提供),进行动力计算,确定土坝的应力-应变状态。采用数值有限元法对问题进行了求解。考虑地基土的均匀性和分段非均匀性,确定了平面“结构-基础”体系的振动特征频率和振型;对系统的性能进行了相应的分析。采用计算频率对“坝-基”体系的应力-应变状态进行了研究。计算结果为“坝-基”体系的等位移线(水平、垂直)、法向和剪应力线。
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DYNAMIC CALCULATION OF THE PLANE ELASTIC "DAM-FOUNDATION" SYSTEM
design, construction, and reliable and safe operation of earth dams (more than 60 of them are in operation in the Republic of Uzbekistan located in seismic region) put forward requirements for the continuous improvement of the calculation methods for loads; as required by regulatory methods for fundamental (static) and special (dynamic) load combinations. These regulatory methods do not take into account the nonhomogeneous nature of the behavior and piecewise heterogeneity of the characteristics of foundation, and the stress-strain state (SSS) of an earth dam under constant or temporary loads, which is necessary for reliable and safe operation, especially in seismic regions. A general mathematical formulation of problems for earth dams in a plane elastic formulation is given. Dynamic calculations were conducted to determine the stress-strain state of an earth dam, taking into account the design features and real piecewise-nonhomogeneous physical and mechanical characteristics of soil of the structure body and base (these characteristics were provided by the design organization). The problem was solved by the numerical finite element method. The eigenfrequencies and modes of vibrations of the plane "structure-foundation" system are determined, considering the homogeneous and piecewise-nonhomogeneous characteristics of the foundation soil; the corresponding analysis of the behavior of the system was made. The stress-strain state of the “dam-foundation” system was investigated using calculated frequencies. The calculation results were lines of equal displacements (horizontal, vertical), normal and shear stresses in the “dam-foundation” system.
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