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    Discussion: “Behavior of Hydrodynamic, Noncontacting Face Seals” (Cheng, H. S., Chow, C. J., and Wilcock, D. F., 1968, ASME J. Lubr. Technol., 90, pp. 510–519) 

    Source: Journal of Tribology:;1969:;volume( 091 ):;issue: 001:;page 216
    Author(s): W. Shapiro
    Publisher: The American Society of Mechanical Engineers (ASME)
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    Steady-State and Dynamic Analyses of Gas-Lubricated Hybrid Journal Bearings 

    Source: Journal of Tribology:;1969:;volume( 091 ):;issue: 001:;page 171
    Author(s): W. Shapiro
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The inherent limitations of load capacity and stability of hydrodynamic gas-lubricated bearings can be reduced by introducing external pressure and creating a hybrid bearing. Numerical computerized ...
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    Stability of Second-Order Asymmetric Linear Mechanical Systems With Application to Robot Grasping 

    Source: Journal of Applied Mechanics:;2005:;volume( 072 ):;issue: 006:;page 966
    Author(s): Amir Shapiro
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: This technical correspondence presents a surprisingly simple analytical criterion for the stability of general second-order asymmetric linear systems. The criterion is based on the fact that if ...
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    Impact on Reynolds Theory on Bearing and Seal Design 

    Source: Journal of Tribology:;1987:;volume( 109 ):;issue: 001:;page 42
    Author(s): Wilbur Shapiro
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The governing equation of lubrication theory was developed by Osborne Reynolds in 1886. Two-dimensional solutions to this equation were not obtained until many years afterwards, first by electric ...
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    A Hydrodynamical Model of Shear Flow over Semi-Infinite Barriers with Application to Density Currents 

    Source: Journal of the Atmospheric Sciences:;1992:;Volume( 049 ):;issue: 023:;page 2293
    Author(s): Shapiro, Alan
    Publisher: American Meteorological Society
    Abstract: Vertically sheared airflow over semi-infinite barriers is investigated with a simple hydrodynamical model. The idealized flow is steady, two-dimensional, neutrally buoyant, and inviscid, bounded on the bottom by a semi-infinite ...
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    Discussion: “Stability and Transient Motion of a Vertical Three-Lobe Bearing System” (Falkenhagen, G. L., Gunter, E. J., and Schuller, F. T., 1972, ASME J. Eng. Ind., 94, pp. 665–676) 

    Source: Journal of Manufacturing Science and Engineering:;1972:;volume( 094 ):;issue: 002:;page 676
    Author(s): W. Shapiro
    Publisher: The American Society of Mechanical Engineers (ASME)
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    A PLANETARY-ATMOSPHERIC RESPONSE TO SOLAR ACTIVITY 

    Source: Journal of Meteorology:;1953:;volume( 010 ):;issue: 005:;page 350
    Author(s): Shapiro, Ralph
    Publisher: American Meteorological Society
    Abstract: The brightness of the planet Jupiter is found to be related to mean annual and monthly relative sunspot numbers which are used to indicate the general level of solar activity. The evidence for the relationship is presented ...
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    A POSSIBLE SOLAR-WEATHER EFFECT 

    Source: Journal of Meteorology:;1954:;volume( 011 ):;issue: 005:;page 424
    Author(s): Shapiro, Ralph
    Publisher: American Meteorological Society
    Abstract: No Abstract Available
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    Drag-Induced Transfer of Horizontal Momentum between Air and Raindrops 

    Source: Journal of the Atmospheric Sciences:;2005:;Volume( 062 ):;issue: 007:;page 2205
    Author(s): Shapiro, Alan
    Publisher: American Meteorological Society
    Abstract: A theoretical model for unsteady drag-induced transfer of horizontal momentum between air and raindrops in moderate to heavy rainfall is presented. The model accounts for a two-way coupling in which the relative horizontal ...
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    Interpolation of Data Between Uniform Grids of Differing Lengths 

    Source: Monthly Weather Review:;1978:;volume( 106 ):;issue: 005:;page 738
    Author(s): Shapiro, Ralph
    Publisher: American Meteorological Society
    Abstract: An improved amplitude restoring interpolation operator is specialized into a form that corrects the phase error as well as the amplitude damping introduced by two-point linear interpolation. The efficiency and accuracy of ...
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