| \([B]\) |
Displacement-to-Strain Matrix |
| \([D]\) |
Material Matrix |
| \(E\) |
Young’s Modulus (\(F/L^2\)) |
| \(\{F\}\) |
Applied force vector |
| \(\{F_g\}\) |
Global applied force vector |
| \(\{F_a\}\) |
Reduced applied force vector |
| \(\{f\}\) |
Generalized (Modal) force vector |
| \(G\) |
Shear Modulus (\(F/L^2\)) |
| \([J]\) |
Jacobian Matrix |
| \([K]\) |
Stiffness matrix |
| \([K_e]\) |
Element stiffness matrix ( \(F/ L^2\) ) |
| \([K_{gg}]\) |
Global Stiffness Matrix |
| \([K_{aa}]\) |
Reduced Stiffness Matrix |
| \(k\) |
Spring stiffness ( \(F/L^2\) ) |
| \(L\) |
Length (L) |
| \(L,M,N\) |
X,Y,Z Moment (FL) |
| \(M_x, M_y, M_z\) |
X,Y,Z Moment (FL) |
| \([M]\) |
Matrix |
| \([M_L]\) |
Mass Matrix |
| \([N]\) |
Function Matrix |
| \(m\) |
mass (M) |
| nsm |
non-structural mass (M) |
| \([T]\) |
Transformation matrix |
| \(t\) |
thickness (L) |
| \(T\) |
translation (L) |
| \(R\) |
rotation (L/radians) |
| \(u\) |
generalized load (translation, rotation) |
| \(X,Y,Z\) |
X,Y,Z Force (F) |
| \(F_x, F_y, F_z\) |
X,Y,Z Force (F) |
| \(x,y,z\) |
displacement (L) |
| \(\{x\}\) |
generalized load (translation, rotation) |
| \(V\) |
Volume ( \(L^3\) ) |
| \(V_i\) |
\(i^{th}\) Volume ( \(L^3\) ) |
| \(\epsilon\) |
strain, shear strain (\(\Delta L/L\)) |
| \(\gamma\) |
shear strain (\(F/L^2\)) |
| \(\nu\) |
Poisson’s ratio |
| \(\Omega\) |
Natural frequencies (\(Hz\)) |
| \(\omega\) |
natural frequency (\(Hz\)) |
| \(\rho\) |
density (\(M/L^3\)) |
| \(\sigma_{ij}\) |
normal stress, shear stress (\(F/L^2\)) |
| \(\tau_{ij}\) |
shear stress (\(F/L^2\)) |
| \(\theta\) |
rotation (radians) |