This chapter contains sections titled:

    Decomposition of the Transmission Error into its Constituent Components

    Transformation of Locations on Tooth Contact Lines to Working‐Surface Coordinate System

    Fourier‐Series Representation of Working‐Surface‐Deviation Transmission‐Error Contribution

    Fourier‐Series Using Legendre Representation of Working‐Surface‐Deviations

    Fourier‐Series Representation of Normalized Mesh Stiffness KM(s)/K̄M

    Approximate Evaluation of Mesh‐Attenuation Functions

    Accurate Evaluation of Fourier‐Series Coefficients of Normalized Reciprocal Mesh Stiffness K̄M/KM(s)

    Fourier‐Series Representation of Working‐Surface‐Deviation Transmission‐Error Contributions Utilizing only Real (Not‐Complex) Quantities

    Appendix 7.A. Integral Equation for and Interpretation of Local Tooth‐Pair Stiffness KTj(x, y) Per Unit Length of Line of Contact

    Appendix 7.B. Transformation of Tooth‐Contact‐Line Coordinates to Cartesian Working‐Surface Coordinates

    Appendix 7.C. Fourier Transform and Fourier Series

    Appendix 7.D. Fourier Transform of Scanning Content of the Line Integral (Equation (7.24b,c)) fj(s) secψbyA(s)yB(s) fCj(y, βs + γy) dy

    Appendix 7.E. Fractional Error in Truncated Infinite Geometric Series

    Appendix 7.F. Evaluation of Discrete Convolution of Complex Quantities Using Real Quantities

    References


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