An analytical method for analyzing the thermal vibration of multi-directional functionally graded porous rectangular plates in fluid media with novel porosity patterns is developed in this study.Mechanical properties ...An analytical method for analyzing the thermal vibration of multi-directional functionally graded porous rectangular plates in fluid media with novel porosity patterns is developed in this study.Mechanical properties of MFG porous plates change according to the length,width,and thickness directions for various materials and the porosity distribution which can be widely applied in many fields of engineering and defence technology.Especially,new porous rules that depend on spatial coordinates and grading indexes are proposed in the present work.Applying Hamilton's principle and the refined higher-order shear deformation plate theory,the governing equation of motion of an MFG porous rectangular plate in a fluid medium(the fluid-plate system)is obtained.The fluid velocity potential is derived from the boundary conditions of the fluid-plate system and is used to compute the extra mass.The GalerkinVlasov solution is used to solve and give natural frequencies of MFG porous plates with various boundary conditions in a fluid medium.The validity and reliability of the suggested method are confirmed by comparing numerical results of the present work with those from available works in the literature.The effects of different parameters on the thermal vibration response of MFG porous rectangular plates are studied in detail.These findings demonstrate that the behavior of the structure within a liquid medium differs significantly from that within a vacuum medium.Thereby,they offer appropriate operational approaches for the structure when employed in various mediums.展开更多
在轴向柱塞泵的工作过程中,通过配流盘进行高低压的循环切换,而配流盘的过流面积是影响柱塞泵内部压力平稳过渡的重要参数。为了完成对配流结构过流面积的求解计算,提出了一种基于多维流场点云的过流面积计算方法。首先,对配流盘流场的...在轴向柱塞泵的工作过程中,通过配流盘进行高低压的循环切换,而配流盘的过流面积是影响柱塞泵内部压力平稳过渡的重要参数。为了完成对配流结构过流面积的求解计算,提出了一种基于多维流场点云的过流面积计算方法。首先,对配流盘流场的点云化过程进行了理论分析,得到了点云化处理的实施方法;然后,对配流盘三维流域模型进行了系列修正,提出了缓冲槽连通阶段模型的修正方法,提高了过流面积计算的准确性;最后,对不同配流阶段的过流面积进行了计算,并与理论测量所得结果以及采用计算流体力学(CFD)数值模拟方法所得的结果,分别进行了对比。计算结果表明:基于多维流场点云的过流面积识别算法求得的过流面积峰值大小为174.5 mm 2,而理论测量值的大小为177.5 mm 2;二者的相对误差率大约为1.7%;而与基于CFD方法所得结果的整体相对误差率,大约在5%以内。研究结果表明:采用该方法,能够直接且较精准地完成对配流盘过流面积的求解与计算,有效地简化了过流面积变换趋势的求解过程。展开更多
文摘An analytical method for analyzing the thermal vibration of multi-directional functionally graded porous rectangular plates in fluid media with novel porosity patterns is developed in this study.Mechanical properties of MFG porous plates change according to the length,width,and thickness directions for various materials and the porosity distribution which can be widely applied in many fields of engineering and defence technology.Especially,new porous rules that depend on spatial coordinates and grading indexes are proposed in the present work.Applying Hamilton's principle and the refined higher-order shear deformation plate theory,the governing equation of motion of an MFG porous rectangular plate in a fluid medium(the fluid-plate system)is obtained.The fluid velocity potential is derived from the boundary conditions of the fluid-plate system and is used to compute the extra mass.The GalerkinVlasov solution is used to solve and give natural frequencies of MFG porous plates with various boundary conditions in a fluid medium.The validity and reliability of the suggested method are confirmed by comparing numerical results of the present work with those from available works in the literature.The effects of different parameters on the thermal vibration response of MFG porous rectangular plates are studied in detail.These findings demonstrate that the behavior of the structure within a liquid medium differs significantly from that within a vacuum medium.Thereby,they offer appropriate operational approaches for the structure when employed in various mediums.
文摘在轴向柱塞泵的工作过程中,通过配流盘进行高低压的循环切换,而配流盘的过流面积是影响柱塞泵内部压力平稳过渡的重要参数。为了完成对配流结构过流面积的求解计算,提出了一种基于多维流场点云的过流面积计算方法。首先,对配流盘流场的点云化过程进行了理论分析,得到了点云化处理的实施方法;然后,对配流盘三维流域模型进行了系列修正,提出了缓冲槽连通阶段模型的修正方法,提高了过流面积计算的准确性;最后,对不同配流阶段的过流面积进行了计算,并与理论测量所得结果以及采用计算流体力学(CFD)数值模拟方法所得的结果,分别进行了对比。计算结果表明:基于多维流场点云的过流面积识别算法求得的过流面积峰值大小为174.5 mm 2,而理论测量值的大小为177.5 mm 2;二者的相对误差率大约为1.7%;而与基于CFD方法所得结果的整体相对误差率,大约在5%以内。研究结果表明:采用该方法,能够直接且较精准地完成对配流盘过流面积的求解与计算,有效地简化了过流面积变换趋势的求解过程。
