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71.
Variation of the stress intensity factor along the front of a 3-D rectangular crack subjected to mixed-mode load 总被引:3,自引:0,他引:3
Summary The singular integral equation method is applied to the calculation of the stress intensity factor at the front of a rectangular
crack subjected to mixed-mode load. The stress field induced by a body force doublet is used as a fundamental solution. The
problem is formulated as a system of integral equations with r
−3-singularities. In solving the integral equations, unknown functions of body-force densities are approximated by the product
of polynomial and fundamental densities. The fundamental densities are chosen to express two-dimensional cracks in an infinite
body for the limiting cases of the aspect ratio of the rectangle. The present method yields rapidly converging numerical results
and satisfies boundary conditions all over the crack boundary. A smooth distribution of the stress intensity factor along
the crack front is presented for various crack shapes and different Poisson's ratio.
Received 5 March 2002; accepted for publication 2 July 2002 相似文献
72.
研究了振动波在含有环向表面裂纹的无限长圆柱壳中的传播特性.圆柱壳体的振动用Flügge方程来描述.运用线弹性断裂力学的理论,考虑到裂纹的张开、滑移和撕裂3种模式以及它们相互之间的耦合,利用分布的线弹簧来模拟裂纹并建立了裂纹所在区域的局部柔度矩阵,得到由此引起的附加位移和壳体中内力之间的关系.在入射波已知的情况下,根据裂纹两侧区域的位移和内力的连续性条件得到了反射和透射波的幅值系数.分析了入射波通过裂纹后的透射、反射系数与激励频率和裂纹尺寸之间的关系.为基于振动功率流方法识别圆柱壳表面损伤提供了理论基础. 相似文献
73.
Based on the fluid-structure coupling theory, a localized variational principle for analyzing the sound radiation from elastic
structure submerged in water due to harmonic excitations is presented. It will be a powerful tool to formulate various numerical
methods for steady response of structural-acoustic systems. By means of this variational principle a hybrid element method,
in which an analytical solution valid in most of the surrounding water is incorporated with finite elements distributed in
the structure and its neighboring water, is devised. Computational examples are then given to demonstrate its high accuracy
and time saving.
The project supported by the National Natural Science Foundation of China (10172038) and the Doctoral Program Foundation of
Institution of Higher Education of China (20040487013). The English text was polished by Yunming Chen. 相似文献
74.
75.
本文基于H∞控制理论研究了传感器和作动器非同位配置情况下,柔性悬臂梁的多模态振动抑制问题。采用频域辨识方法获取低阶名义模型,合理选取加性不确定权函数和性能权函数,将鲁棒H∞控制问题转化为标准H∞控制问题。为了避免H∞控制器设计过程中产生的零极点对消问题,在求解过程中引入区域极点约束。比较了鲁棒H∞控制器和不考虑高阶未建模动态的非鲁棒H∞控制器的控制效果,实验结果表明,设计的鲁棒H∞控制器能够有效抑制柔性梁的前三阶模态振动,而且不会发生溢出问题。 相似文献
76.
本文以连杆节间为界,按弹性支座上和Timoshenko悬臂梁建立力墙部分的振动方程,按一般框架建立框架部分的振动方程,根据力,变形协调条件,形成底层大空间高层建筑结构的自由振动,并据此计算其自由振动。 相似文献
77.
本文研究了含粘性阻尼结构的复振型导数计算问题,将导数计算问题看成是一个简谐激振的响应计算问题,采用多次模态加速法和移位法,导出了复振型导数计算的移位多次模态加速法。该方法具有明确的数学和物理意义,可导出已有的各种计算方法。算例表明本方法计算复振型导数只需用很少几个模态即可保证精度,计算量大大减少。 相似文献
78.
Piezo-film sensors were employed in determining the dynamic response of [(0 deg/90 deg)4]s s-glass/epoxy laminates and 2024 aluminum specimens. Simple beam- and plate-type sensor equations were derived based on classical
plate theory incorporating the linear piezoelastic constitutive relationship. A series of vibration and impact tests were
conducted for the determination of structural dynamic response. Piezo-film sensors, with a thickness and area of 110 μm and
1×1 cm2, respectively, were connected directly to a voltage measurement device in these tests. The first three bending frequencies
of the glass-fiber-reinforced plastic (GFRP) cantilever specimen were examined. Experimental results and those simulated by
the MARC finite-element code were found to be in good agreement, with the difference between the two being less than five
percent. At frequencies above 3 kHz, piezo-film transducers are capable of closely detecting structural dynamic response in
the absence of charge amplification. At frequencies lower than approximately 3 kHz, however, the voltage measured directly
from a piezo-film sensor underestimates structural response. A modified piezo-film sensor equation is thus proposed for lower
frequency measurements. Effect of frequency and piezo-film's size on lower frequency attenuation is explicitly formulated
based on a simple RC circuit analogy. Drop tests were also performed on clamped [(0 deg/90 deg)4]s GFRP laminates and aluminum targets, with nine piezo-film sensors being glued to the specimen's distal surface in order to
determine the low-speed impact response. Specimen transient central deflection subjected to impact loading was identified
based on test findings and the plate-type piezo-film sensor equation. The results were found to be in good agreement with
the numerical solution obtained from the MARC finite-element code. 相似文献
79.
80.