AAE352_Summer_Lec06

# AAE352_Summer_Lec06 - Andrew J Ritchey [email protected]

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June 21, 2010 AAE 352 Summer 2010 6-1 Andrew J. Ritchey [email protected] ARMS B144 765-494-5985 https://engineering.purdue.edu/AAE/Academics/Courses/aae352/2010/summer

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Introduce the matrix stiffness method used to analyze aerospace structures Provide definitions & concepts Matrix operations Node points Stiffness matrix AAE 352 Summer 2010 6-2 June 21, 2010
    i ij j F K u   AAE 352 Summer 2010 6-3 After we have applied loads, we need to create analytical models that provide input/output relationships between applied loads and internal forces, moments and stresses June 21, 2010

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What is a node? What is a degree of freedom? Why do we need to restrict or restrain some of these nodes or dof’s? What is a stiffness matrix? What is an inverse? How do I compute a stiffness matrix for a single element? AAE 352 Summer 2010 6-4 June 21, 2010
AAE 352 Summer 2010 6-5 A node is a point on a structural model where we can apply forces and also measure or compute displacements. A degree of freedom is a measured or computed displacement within the structure or on a structural boundary. June 21, 2010

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12 o F F P  AAE 352 Summer 2010 6-6 F 1 F 2 P o P o F 1 F 2 F 2 F 1 June 21, 2010
11 1 2 1 1 F uu EA   22 2 4 3 2 F EA   AAE 352 Summer 2010 6-7 u 1 u 1 u 2 u 2 u 3 u 3 u 4 u 4 u 1 =0 u 4 =0 u 2 =u 3 June 21, 2010

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1 1 2 2 23 12 FF uu EA EA 21 EA EA    AAE 352 Summer 2010 6-8 u 1 u 1 u 2 u 2 u 3 u 3 u 4 u 4 u 1 =0 u 4 =0 u 2 =u 3 June 21, 2010
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AAE352_Summer_Lec06 - Andrew J Ritchey [email protected]

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