13 pages matching thermal expansion in this book
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9-point Hindle mount actuator airbag algorithm analytical angle approximation aspect ratio astigmatism axial beam boundary conditions calculated central hole circular components convergence damping deflection deformed delta-plate displacement distortion edge effect eigenvalues elasticity Engineering epoxy equations factors figure error finite element analysis finite element method finite element model flexures floating supports forces Fracture Mechanics gradient graphite epoxy grid heat exchanger influence functions integration iteration jitter linear load Mechanics mesh mirror segment modal mode shapes modes NASTRAN natural frequency nodal node nonlinear obtained optical elements optimization orthogonal performance plate Poisson's ratio primary mirror problem radial radius residual error ring shear shell shown in Figure shrinkage solution stiffness matrix stress Structural Dynamics support points support system surface symmetry telescope temperature thermal expansion thickness tilt tube variations vectors wavefront Zernike coefficients Zernike polynomials zero