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SLIDES-1 - EAS 4210C AIRCRAFT STRUCTURES II Spring 2002 1...

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1 EAS 4210C AIRCRAFT STRUCTURES II Spring 2002
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2 Introduction 1) Given a structure under load: We wish to compute the deformation and/or stresses in the beam. One way is: to solve the differential equation governing the deflection: Analytical solution is difficult or impossible if q(x) is arbitrary, the beam is not uniform,or the structure is more complex. q(x) ) ( 2 2 2 2 x q dx y d EI dx d =
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3 The same applies to thermal problems 2) Given a continuum in a steady thermal environment: We wish to compute the temperature distribution and/or heat flux in the continuum. One way is: to solve the differential equation governing the temperature field: Analytical solution is difficult or impossible if the boundary conditions are complex, the medium is not homogeneous, and/or the shape of the domain is irregular 0 = + y T k y x T k x T 0 q
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4 And fluid flow 3) Given a fluid flow in plane: We wish to compute the pressure and/or velocity field in the fluid. One way is: to solve the three differential equations governing those fields: (only one is shown below) Analytical solution is difficult or impossible if the boundary conditions are complex, the shape of the domain is irregular, and/or the viscosity is not uniform 0 =
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