1. Ratings#
SLF |
Friction Limit Surface |
\({M}_{y}\) |
Moment in the assembly around the \(y\) axis |
\({\overline{N}}_{1}\) |
Maximum sliding force of the assembly on the \(x\) axis |
\({\overline{M}}_{1}\) |
Slip moment limit of the assembly on the axis \(y\) |
SLU |
Ultimate Boundary Area |
\({\overline{N}}_{2}\) |
Ultimate assembly effort on the \(x\) axis |
\({\overline{M}}_{2}\) |
Ultimate assembly moment on the \(y\) axis |
\(\overline{N}\) |
Limit effort |
\(\overline{M}\) |
Boundary moment |
\({\overline{U}}_{1}\) |
Limited displacement of mechanism 1 on the \(x\) axis |
\({\overline{\mathrm{\theta }}}_{1}\) |
Limited rotation of mechanism 1 on the \(y\) axis |
\({\overline{U}}_{2}\) |
Limited displacement of mechanism 2 on the \(x\) axis |
\({\overline{\mathrm{\theta }}}_{2}\) |
Limited rotation of mechanism 2 on the \(y\) axis |
\(U\) |
Moving the assembly on the \(x\) axis |
\(\mathrm{\theta }\) |
Rotation of the assembly on the \(y\) axis |
\(n\) |
Reduced effort \(n=\text{Nx}/\overline{N}\) |
\(m\) |
Reduced moment \(m=\text{My}/\overline{M}\) |
\({U}_{r}\) |
Reduced displacement \(\text{Ur}=U/\overline{U}\) |
\({\mathrm{\theta }}_{r}\) |
Reduced rotation \(\mathrm{\theta }r=\mathrm{\theta }/\overline{\mathrm{\theta }}\) |
\(\overline{U}\) |
Limit displacement on the \(x\) axis |
\(\overline{\mathrm{\theta }}\) |
Rotation limit on the \(y\) axis |
\(h(x)\) |
Scalar function |
\(a\) |
Nonlinearity parameter |
\(\overline{d}\) |
Scalar constant |
\(\underline{d}\) |
Reduced generalized displacement vector |
\(\underline{f}\) |
Reduced generalized effort vector |
\(p\) |
Scalar internal variable |
\(\text{feq}\) |
Scalar reduced equivalent generalized effort |
\(F\) |
Loading area |
\(R(x)\) |
Scalar function \(R(x)={h}^{-1}(x)\) |
\(\underline{D}\) |
Generalized displacement vector |
\(\underline{F}\) |
Generalized effort vector |
\(\left[\overline{D}\right]\) |
Generalized displacement limit matrix |
\(\left[\overline{F}\right]\) |
Generalized effort limit matrix |
\({X}^{\text{+}}\) |
Value of \(X\) at time \(t+\mathit{dt}\) |
\({X}^{\text{-}}\) |
Value of \(X\) at time \(t\) |
\(e\) |
Charging eccentricity \(e={M}_{y}/{N}_{x}\) |
\({e}_{r}\) |
Reduced loading eccentricity \({e}_{r}=m/n\) |
\(\mathrm{\varepsilon }\) |
Sign of |
\(\left[\right]\) |
Matrix |
\(\left\{\right\}\) |
Column vector |
\(\text{< >}\) |
Line vector |
\({K}_{o}\) |
Tangent operator at the moment \(t\) |
\({K}_{n}\) |
Tangent operator at the moment \(t+\mathrm{dt}\) |
\({K}_{\text{or}},{K}_{\text{nr}}\) |
Reduced tangent operators |