Load-Supporting Fluid-Filled Cylindrical Membranes
Load-Supporting Fluid-Filled Cylindrical Membranes
复制标题
承载流体的圆柱形膜
DOI：
10.1115/1.3169168
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发表时间：
1985
期刊：
影响因子：
--
通讯作者：
V. Namias
中科院分区：
文献类型：
--
作者：
V. Namias
当长圆柱形柔性膜充满流体并用于支撑外部重量时，它们呈现的形状以及相关的几何和动力学量由受特定边界条件影响的非线性微分方程控制。首先，获得卸载膜的完整且精确的分析解。非常准确的近似表达式直接从整个施加压力和流体密度范围的精确解中得出。接下来，在与膜载荷相对应的边界条件下精确求解非线性微分方程。在大载荷的限制下也得到了简单的渐近表达式。
When long cylindrical flexible membranes are filled with a fluid and used to support external weights, the shape they assume and the relevant geometrical and dynamical quantities are governed by a nonlinear differential equation subject to particular boundary conditions. First, a complete and exact analytical solution is obtained for an unloaded membrane. Very accurate approximate expressions are derived directly from the exact solution for the entire range of applied pressures and fluid densities. Next, the nonlinear differential equation is solved exactly under boundary conditions corresponding to the loading of the membrane. Simple asymptotic expressions are also obtained in the limit of large loads.