Rectangle Plate Research Articles

Analytical solutions of steady vibration of free rectangular plate on semi-infinite elastic foundation

The method of double fourier transform was employed in the analysis of the semi-infinite elastic foundation with vertical load. And an integral representations for the displacements of the semi-infinite elastic foundation was presented. The analytical solution of steady vibration of an elastic rectangle plate with four free edges on the semi-infinite elastic foundation was also given by combining the analytical solution of the elastic rectangle plate with the integral representation for displacements of the semi-infinite elastic foundation. Some computational results and the analysis on the influence of parameters were presented.

Biological and Biomechanical Properties of Chemically Modified SLA Titanium Implants In Vitro and In Vivo

The objective of this study was to evaluate the interface shear strength and the responses of osteoblast-like cells to titanium implants with a sandblasted and acid-etched surface modified by alkali and heat treatments (SLA-AH). The implants with machined and SLA surface served as controls. Each type of implant was characterized by scanning electron microscopy (SEM) and energy-dispersive x-ray (EDX) analysis. In vitro assays were made using human osteoblast-like cell culture on different surfaces. The rectangle plates were also transcortically implanted into the proximal metaphysis of New Zealand White rabbit tibiae. After 4, 8 and 12 weeks implantation, mechanical and histological assessments were performed to evaluate biomechanical and biological behavior in vivo. By SEM examination, SLA surface combined with AH treatments revealed a macro-rough surface with finely microporous structure. The in vitro assays showed that the SLA-AH surfaces exhibited more extensive cell deposition and improved cell proliferation as compared with controls. Pull-out test demonstrated that the SLA-AH treated implants had a higher mechanical strength than the controls at all interval time after implantation. Histologically, the test implants revealed a significantly greater percentage of bone-implant contact when compared with controls. The results of this study suggest that a useful approach by combined processes could optimize implant surfaces for bone deposition and produce distinct biological surface features.

Process optimization for AZ91 Mg-alloy low-pressure EPC process

The influence of a key process variable on the mold filling characteristics of AZ91 Mg-alloy was studied in the low pressure EPC process. The applied flow quantity of insert gas from 1 to 5 m3/h associated with the pressurizing rate in the low pressure EPC casting process was considered for rectangle and Lr shape plate casting. The experimental results show that there is an optimal flow quantity of insert gas for good mold filling characteristics in AZ91 Mg-alloy low-pressure EPC process. The optimal flow quantity of insert gas for the specimens is 3 to 4 m3/h. Either less or higher than the optimal flow quantity of insert gas would lead to misrun defects or folds, blisters and porosity defects. The practice of hub casting confirmed that the low-pressure EPC process with an optimal processing variable exemplified as 4 m3/h gas flow quantity was capable of producing complicated magnesium castings without misrun defects.

浮体式風力発電施設の係留のための平板型アンカーに関する貫入模型実験とその解析

To broaden utilization of wind energy, floating offshore wind farms are said to be valid because of deep, high slope of sea flour off Japan. However, a cost-effective construct is a critical matter and so necessitate the development of high capacity and easily deployable anchors, which tend to be used on trials for toutmooring of floating units in deep sea environments in Brazil. Measurements were done for dragging distance, penetration depth, inclination and pulling tension of rectangle plates in homogeneous dry sand and clay in a tank. This paper describes the analytical model taking mechanism producing holding capacity into considerations along with bearing capacity factors obtained by solving the equilibrium of forces such as gravitational force, friction, resistance force and pulling force acting on the plate fluke.

Fundamental Solutions in Problems of Bending of Anisotropic Plates

Fundamental solutions based on the engineering theory of bending of thin anisotropic plates (Kirchhoff–Love hypotheses) are constructed for anisotropic, in particular, orthotropic plates of canonical plan form (half-plane, quadrant, band, half-band, rectangle, and unbounded plate with an elliptic hole)

Generalization of Plate Finite Elements for Absolute Nodal Coordinate Formulation

We propose a way to generate new finite elements in the absolute nodalcoordinate formulation (ANCF) and use a generalization of displacementfields and degrees of freedom (d.o.f.) of ordinary finite elements usedin structural mechanics. Application of this approach to 16- and12-d.o.f. rectangle plate elements as well as to 9-d.o.f. triangleelement gives, accordingly, 48-, 36- and 27-d.o.f. ANCF plate elements.We perform a thorough study of a 48-d.o.f. Hermitian element. Its shapefunction set is a Cartesian product of sets of one-dimensional shapefunctions for beam elements. Arguments of the shape functions aredecoupled, that is why an explicit calculation of terms of equations ofmotion leads to single integration only. We develop several models ofelastic forces of different complexity with their Jacobian matrices.Convergence and accuracy of the finite element is demonstrated ingeometrically nonlinear static and dynamic test problems, as well as inlinear analysis of natural frequencies.

F-5-3-2 Analysis of Vibrational Motion of Space Solar Power Station (SSPS) by Substructure Synthesis Method

This paper is devoted to investigating dynamical analysis of Space Solar Power Station (SSPS) system proposed by the Institute of Space and Astronautical Science (ISAS) recently. This system consists of large thin, flexible rectangle plates connected to a bus system through four tethers, and its attitude is stabilized by the gravity-gradient torque with employment of the tether technology. Structure flexibility, gravity forces and gravity gradient torques are taken into consideration in this study to obtain an effective control scheme for the system. Finite Element Method (FEM) and Substructure Synthesis Method are employed to analyze the vibrational motion of the system. Results of numerical analyses show that tether bends and extends to balance the influence of the gravity gradient torques, and the waves of the tether interact that of plates.

612 難加工性アルミナ分散銅の細密フィン折り加工試験とその解析(塑性加工シミュレーション)(OS.3 弾塑性材料のシミュレーションと実験)

In order to improve system performance of HTGR-GT(High Temperature Gas cooled Reactor- Gas Turbine) system, high strength/ high thermal conductivity alumina dispersed copper material(AL-25) is very attractive material for the application to the fine rectangular plate fin of the recuperate in HTGR-GT. However, it is believed to be difficult to process AL-25 to the fine rectangle plate fin mainly due to its brittleness. In present study, large scale deformation simulation of AL-25 thin plate under the fine fin process was performed by finite element method (FEM) to determine the best fin processing technique for the recuperate plate fin, and on the basis of these results, double action type plate fin processing device was fabricated and tested its processing performance with AL-25 thin plate specimens. The following conclusions were determined; (1) Process simulation of rectangular fine plate of 3mm height and 4mm pitch with 0.156mm thickness was performed by FEM and testified the effectiveness of the double action type plate fin processing technique for present purpose. With these results, the best processing condition of radius of the dies and clearance was derived as 0.8mm and 0.25mm, respectively. (2) In these process conditions, processing test of the rectangular fine plate of 3mm height and 4mm pitch was made successfully with 0.156mm thin plate AL-25 without crack and fracture. (3) The process simulation results of the change in thickness of thin plate AL-25 after processing shows very good agreement with the measuring data of the rectangular plate fins. These results indicated that double action process and simulation technique in present study can be applicable to process fine rectangular plate fin with vely brittle materials as AL-25.

Efficiency of a rectangle plate form gamma source in product overlap irradiation technique

For the efficiency of a rectangle shape Co-60 gamma source in product overlap irradiation technique, it has been derived a simple analytical formula with five free parameters, following a new macroscopic approach.