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

_images/Object_50.svg

\(\left[\right]\)

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