Parallel Plate Interferometer with a Reflecting Mirror for Measuring Angular Displacement

A parallel plate interferometer with a reflecting mirror for measuring angular displacement is proposed. A deflection angle of a beam caused by an angular displacement is amplified by use of a reflecting mirror to increase the optical path difference (OPD) in the plane-parallel plate, which provides high sensitivity of the phase measurement. Detection of light transmitted through the plane-parallel plate with a position sensitive detector (PSD) enables high accurate measurement of the initial angle of incidence to the plane-parallel plate with insensitivity to stray light. The improved parallel plate interferometer achieves a measurement repeatability of 10⁻⁸ rad.     

Stabilization of the Rotation Axis of a Solid by Coupled Perfectly Rigid Bodies

The problem of stabilizing the axis of a solid by coupled perfectly rigid bodies (PRBs) is solved. The solid executes a plane-parallel motion. The PRBs can rotate as a single rigid body about the centroidal axis of the solid and counterrotate about its transverse axes through equal angles. There is a particle inside the solid which causes its imbalance. It is established that the principal state (if any) of the system—rotation about the centroidal axis—is stable, whereas the rest (unwanted) states are unstable __________ Translated from Prikladnaya Mekhanika, Vol. 41, No. 8, pp. 122–129, August 2005.     

On Plane-Parallel Separated Flows of an Incompressible Fluid near Flat Boundaries

On the basis of Stokes separated flows, examples of separated flows described by the Navier-Stokes equations of a viscous incompressible fluid are constructed. These flows are represented by series convergent in a certain non-zero neighborhood of a flat contour immersed in the flow. In this neighborhood, the series have the same structure as those for the basic Stokes flows. Examples of the regions in which the series segments chosen give only a slight deviation from the numerical solutions of the Navier-Stokes equations are presented. The comparison between inviscid separated flows (without the no-slip condition on the contour) and viscous flows of the same structure (with the no-slip condition) shows that the viscosity does not play a decisive role in the formation of separation or the type of streamline approach to or departure from the contour.     

平面运动刚体的恢复系数公式的推导

针对平面运动刚体的碰撞,给出了恢复系数公式的一种证明方法.     

几种演示影响刚体滚动因素的物理实验仪

改进和研制了几种演示刚体平面平行运动(滚动)的物理实验仪,突出演示了转动惯量、滚动半径、刚体质量等因素对运动的影响．仪器结构简单,构思巧妙,演示效果良好．     

Astigmatism correction for a large-aperture dispersive spectrometer

We have numerically modeled astigmatism correction for a large-aperture mirror spectrometer using a tilted plane-parallel plate. The results suggest a decrease in the height of the astigmatic focal spot by a factor of 2–7 over the entire image field without reducing the spectral resolution. We have demonstrated experimentally that the described correction method is feasible on a prototype of a spectrometer. Based on the numerical modeling and experimental data, we have shown that practical application of the method is feasible in order to substantially improve the sensitivity of spectral instruments. __________ Translated from Zhurnal Prikladnoi Spektroskopii, Vol. 75, No. 1, pp. 143–148, January–February, 2008.     

柯尼希定理的实验研究

介绍了刚体平面平行运动中的柯尼希定理的验证实验,并用三种不同形状的刚体验证了柯尼希定理。     

Geometrical Representation of the Motion of a Body Through a Medium

The paper presents a complete qualitative analysis of the model plane-parallel motion of a body (plate) through a resisting medium with jet or detached flow. A simplified system is analyzed on the phase plane. A geometrical interpretation is given to the motion of the plate