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Mirror deflection on multiple axial supports.

D S Wan, J R Angel, R E Parks

|June 16, 2010

Summary

This summary is machine-generated.

A new theoretical model accurately predicts mirror deflection on multiple supports, considering complex factors like curvature and shear. This model validates well against finite element analysis for various support configurations.

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Area of Science:

Optical engineering
Mechanical engineering
Materials science

Background:

Accurate prediction of mirror deflection is critical for optical system performance.
Existing models may not fully account for complex structural and geometric factors.
Thin plate theory provides a foundation for analyzing structural behavior.

Purpose of the Study:

To develop a theoretical model for calculating mirror deflection on multiple axial supports.
To incorporate thickness variations, curvature, sandwich structures, and shear effects into the model.
To validate the model and apply it to complex support scenarios.

Main Methods:

Development of a theoretical model based on thin plate theory.
Inclusion of mirror curvature, sandwich structure, and shear effects.
Comparison with finite element analysis (FEA) for validation.
Analysis of surface deflections for three-point, forty-eight-point, and eighty-four-point support patterns.
Development and application of a tolerancing model for support forces.

Main Results:

The theoretical model shows excellent agreement with finite element analysis for a three-point support.
The model successfully calculates surface deflections for more complex support configurations (48- and 84-point).
A tolerancing model for support forces was developed and applied to an 84-point support case.

Conclusions:

The developed theoretical model provides accurate predictions of mirror deflection under various support conditions.
The model's ability to include complex physical effects enhances its applicability in optical system design.
The tolerancing model offers a method to manage uncertainties in support forces for high-precision applications.