使用第三阶剪切变形理论,对厚厚的FGM形外进行热振动
1Department of Mechanical Engineering, Hsiuping University of Science and Technology, Taichung 412-406, Taiwan.
Materials (Basel, Switzerland)
|May 25, 2024
概括
这项研究研究了厚厚的功能分级材料 (FGM) 形外,使用时间依赖的第三阶剪切变形理论 (TSDT). 研究人员分析了热振动,并在高温下发现了应激行为,这与航空航天应用有关.
科学领域:
- 机械工程 机械工程
- 材料科学 材料科学 材料科学
- 计算力学 计算力学 计算力学
背景情况:
- 厚厚的功能分级材料 (FGM) 形外是高温环境中至关重要的组件,例如飞机发动机.
- 了解它们的动态热振动行为对于结构完整性和性能预测至关重要.
- 现有的模型往往简化了外几何或材料特性,需要对厚外进行先进的理论.
研究的目的:
- 通过依赖时间的第三阶剪切变形理论 (TSDT) 研究厚厚的FGM形外的动态热振动.
- 分析各种参数的影响,包括剪切校正系数,温度,TSDT模型和FGM功率规律指数,对外位移和应力的影响.
- 为了解FGM形在极端热负荷下的行为提供见解.
主要方法:
- 应用了依赖时间的第三阶剪切变形理论 (TSDT) 来推导厚型FGM形外的动态运动方程.
- 一般化微分方程 (GDQ) 数值方法被用来解决平衡矩阵形式的衍生动态微分方程.
- 该研究集中在具有特定长度与厚度比率 (5和10) 的外上,并承受形加热负荷.
主要成果:
- 对于特定的TSDT系数,正常应力值随着时间的推移呈现下降趋势,长度与厚度比为5.
- 剪切应力分析表明,FGM圆形外的长度与厚度比为5可以承受高达1000K的温度.
- 参数研究确定了剪切校正系数,环境温度,TSDT模型和FGM功率法指数对反应的显著影响.
结论:
- TSDT方法有效地捕捉了厚厚的FGM形外的动态热振动行为.
- 这些发现强调了材料适用于高温航空航天应用,特别是飞机发动机,考虑到热应力效应.
- 精确预测压力和位移对于FGM组件在极端热环境中的设计和安全至关重要.
相关概念视频
Thin-Walled Hollow Shafts
184
In analyzing a thin-walled hollow shaft subjected to torsional loading, a segment with width dx is isolated for examination. Despite its equilibrium state, this segment faces torsional shearing forces at its ends. These forces are quantitatively described by the product of the longitudinal shearing stress on the segment's minor surface and the area of this surface, leading to the concept of shear flow. This shear flow is consistent throughout the structure, indicating a uniform distribution...
184
Elastic Strain Energy for Shearing Stresses
183
As discussed in previous lessons, strain energy in a material is the energy stored when it is elastically deformed, a concept crucial in materials science and mechanical engineering. This energy results from the internal work done against the cohesive forces within the material. When a material undergoes shearing stress and corresponding shearing strain, the strain energy density, which is the energy stored per unit volume, is calculated. Within the elastic limit, where the stress is...
183
Plastic Deformation in Circular Shafts
186
When materials are subjected to forces that surpass their yield strength, they undergo a process known as plastic deformation. This results in a permanent alteration or strain in their structure. This concept can be specifically applied to circular shafts, where the deformation leads to a change in its shape. The precise evaluation of this plastic deformation requires understanding the stress distribution within the circular shaft, which is achieved by calculating the maximum shearing stress in...
186
Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity
264
Deformation occurs in axial and transverse directions when an axial load is applied to a slender bar. This deformation impacts the cubic element within the bar, transforming it into either a rectangular parallelepiped or a rhombus, contingent on its orientation. This transformation process induces shearing strain. Axial loading elicits both shearing and normal strains. Applying an axial load instigates equal normal and shearing stresses on elements oriented at a 45° angle to the load axis.
264
Deformation in a Circular Shaft
284
One of the distinctive characteristics of circular shafts is their ability to maintain their cross-sectional integrity under torsion. In other words, each cross-section continues to exist as a flat, unaltered entity, simply rotating like a solid, rigid slab. To understand the distribution of shearing stress within such a shaft, consider a cylindrical section inside this circular shaft. This section has a length of L and a radius of R, with one end fixed. The radius of the cylindrical section is...
284
Sound as Pressure Waves
2.4K
Sound waves, which are longitudinal waves, can be modeled as the displacement amplitude varying as a function of the spatial and temporal coordinates. As a column of the medium is displaced, its successive columns are also displaced. As the successive displacements differ relatively, a pressure difference with the surrounding pressure is created. The gauge pressure varies across the medium.
The pressure fluctuation depends on the difference in displacements between the successive points in the...
The pressure fluctuation depends on the difference in displacements between the successive points in the...
2.4K


