Po Kee Wong

US Patent:

6430516, Aug 6, 2002

Filed:

Oct 16, 1997

Appl. No.:

08/951996

Inventors:

Po Kee Wong - Somerville MA 02145

Assignee:

Po Kee Wong - Somerville MA

International Classification:

G05B 106

US Classification:

702 56, 324166

Abstract:

The invention concerns the design methodology for high speed rotating shafts based on the wave spectrum analysis of the vibrational modes of elastic circular rods and shells. In accord with the invention, a shaft is designed by (1) selecting the material of the shaft; (2) determining dilational wave speed of the material as a function of frequency; (3) determining shear wave speed of the material as a function of frequency; (4) solving for critical frequencies of the shaft by solving a three-dimensional characteristic frequency equation for the shaft, the equation being defined by the dilational wave speed, the shear wave speed, and the inner and outer radius of the shell, the critical frequencies defining functions that depend upon physical dimensions of the inner and outer radius; and (5) specifying the inner and outer radius of the shell by minimizing cross-over of critical frequencies over operational rotational speeds of the shaft. A similar technique solves for shaft dimensions with an inner material within the shaft.

US Patent:

58483772, Dec 8, 1998

Filed:

Aug 29, 1993

Appl. No.:

8/117524

Inventors:

Po Kee Wong - Somerville MA

International Classification:

G01S 300
G01S 504

US Classification:

701226

Abstract:

A set of three geometric anagles is initiated to track the trajectories of moving objects. The objects to be tracked include but not limit to: satellites, space shuttles, airplanes, missiles moving in aerospace; submarines, ships, fish groups and other moving objects in hydrospace; cars, trucks, trains, human-beings and anmals moving on lands; planet motions in the solar system; particle motions in a controlled experiment in our national labories; contaminants, and hazardous materials in a variety of environmental conditions. All these objects can be detected and monitored by means of various sensing technologies which include seismic, acoustic, electro-magnetic, thermal, chemical, electro-optical and infrared. Mapping and monitoring systems could be deployed in unattended arrays or aboard ground, air, or maritime vehicles.

US Patent:

50842323, Jan 28, 1992

Filed:

Mar 8, 1989

Appl. No.:

7/144461

Inventors:

Po K. Wong - Somerville MA

International Classification:

G21C 1100

US Classification:

376277

Abstract:

In 1974, a well-known research problem in Statistical Mechanics entitled "To determine and define the probability function P. sub. 2 of a particle hitting a predesignated area, given all its parameters of generation and ejection. " was openly solicited for its solution from research and development organizations in U. S. A. One of many proposed solutions of the problem, initiated at that time, is by means of the TRAJECTORY SOLID ANGLE(TSA). TSA is defined as the integral of the dot product of the unit tangent of the particle's trajectory to the vectorial area divided by the square of the position vector connecting between the point of ejection and that of the surface to be hit. The invention provides:(1) The precise and the unique solution of a previously unsolved P. sub. 2 problem:(2) Impacts to the governmental NRC safety standards and DOD weaponary systems and many activities in the Department of Energy;(3) Impacts to update the contents of text books of physics and mathematics of all levels; (4) Impacts to the scientific instrumentations with applications in high technologies. The importance of TRAJECTORY SOLID ANGLE can be quoted from a letter by the late Institute Professor P. M.