Amplification factor
Encyclopedia
In structural engineering
the amplification factor is the ratio of second order to first order deflections
.
In calculations this is represented by the symbol AF
In numerical analysis
the amplification factor is a number derived using Von Neumann stability analysis
to determine stability of a numerical scheme for a partial differential equation
.
Structural engineering
Structural engineering is a field of engineering dealing with the analysis and design of structures that support or resist loads. Structural engineering is usually considered a specialty within civil engineering, but it can also be studied in its own right....
the amplification factor is the ratio of second order to first order deflections
Deflection (engineering)
In engineering, deflection is the degree to which a structural element is displaced under a load. It may refer to an angle or a distance.The deflection distance of a member under a load is directly related to the slope of the deflected shape of the member under that load and can be calculated by...
.
In calculations this is represented by the symbol AF
In numerical analysis
Numerical analysis
Numerical analysis is the study of algorithms that use numerical approximation for the problems of mathematical analysis ....
the amplification factor is a number derived using Von Neumann stability analysis
Von Neumann stability analysis
In numerical analysis, von Neumann stability analysis is a procedure used to check the stability of finite difference schemes as applied to linear partial differential equations...
to determine stability of a numerical scheme for a partial differential equation
Partial differential equation
In mathematics, partial differential equations are a type of differential equation, i.e., a relation involving an unknown function of several independent variables and their partial derivatives with respect to those variables...
.