SDT-base Contents   Functions      PDF Index |
The following typesetting conventions are used in this manual
courier | blue monospace font : Matlab function names, variables |
feplot | light blue monospace font: SDT function names |
command | pink : strings and SDT Commands |
var | italic pink: part of command strings that have to be replaced by their value |
% comment | green: comments in script examples |
Italics | MATLAB Toolbox names, mathematical notations, and new terms when they are defined |
Bold | key names, menu names and items |
Small print | comments |
(1,2) | the element of indices 1, 2 of a matrix |
(1,:) | the first row of a matrix |
(1,3:end) | elements 3 to whatever is consistent of the first row of a matrix |
Programming rules are detailed under section 7.17. Conventions used to specify string commands used by user interface functions are detailed under commode.
Usual abbreviations are
CMS | Component Mode Synthesis (see section 6.3.3) |
COMAC | Coordinate Modal Assurance Criterion (see ii_mac) |
DOF,DOFs | degree(s) of freedom (see section 7.5) |
FE | finite element |
MAC | Modal Assurance Criterion (see ii_mac) |
MMIF | Multivariate Mode Indicator Function (see ii_mmif) |
POC | Pseudo-orthogonality check (see ii_mac) |
For mathematical notations, an effort was made to comply with the notations of the International Modal Analysis Conference (IMAC) which can be found in Ref. [1]. In particular one has
, | matrix, vector |
conjugate | |
input shape matrix for model with N DOFs and NA inputs (see section 5.1). modal input matrix of the jth normal / complex mode | |
sensor output shape matrix, model with N DOFs and NS outputs (see section 5.1). modal output matrix of the jth normal / complex mode | |
correction matrix for high frequency modes (see section 5.6) | |
correction matrix for low frequency modes (see section 5.6) | |
mass, damping and stiffness matrices | |
numbers of degrees of freedom, modes | |
numbers of sensors, actuators | |
principal coordinate (degree of freedom of a normal mode model) (see section 5.2) | |
degree of freedom of a finite element model | |
Laplace variable ( for the Fourier transform) | |
residue matrix of the jth complex mode (see section 5.6) | |
residue matrix of the jth normal mode (used for proportionally damped models) (see section 5.6) | |
inputs (coefficients describing the time/frequency content of applied forces) | |
outputs (measurements, displacements, strains, stresses, etc.) | |
dynamic stiffness matrix (equal to ) |
dynamic compliance matrix (force to displacement transfer function) | |
design parameters of a FE model (see section 6.5.2) | |
additive modifications of the mass, damping and stiffness matrices (see section 6.5.2) | |
non-diagonal modal damping matrix (see section 5.3) | |
complex pole (see section 5.5) | |
real or normal modes of the undamped system(NM ≤ N) | |
modal stiffness (diagonal matrix of modal frequencies squared) matrices (see section 5.2) | |
NM complex modes of a first order symmetric structural model (see section 5.5) | |
NM complex modes of damped structural model (see section 5.5) |