NASA-STD-5002, Load Analyses of Spacecraft and Payloads, 1996 5.3.2 Transient load analysis (excerpt) Statistical variation of parameters governing the forcing functions is accommodated by generating multiple cases of forcing functions for a single flight event. After all cases are analyzed, the maximum transient load is… Read more
PowerPoint File: webinar_17_SDOF_force.pptx Audio/Visual File: NESC Academy SDOF – Response to Applied Force – Recommend viewing in Firefox with Sliverlight plugin * * * Reference Papers: T. Irvine, Machine Mounting for Vibration Attenuation, Rev B, Vibrationdata, 2000 link Bruel & Kjaer Booklets: Mobility Measurement link Modal… Read more
Here is a paper which gives a derivation of the equations of motion: semidefinite_force.pdf It also covers the transfer functions which can be calculated if the rigid-body mode is omitted. Here is a Matlab script: semidefinite_force.zip The main script is: semidefinite_force.m The remaining scripts are… Read more
A rocket vehicle behaves as a free-free beam during flight. The vehicle’s body bending modes can be excited by wind gusts, aerodynamic buffeting, thrust offset, maneuvers, etc. The bending motion can interfere with the vehicle’s control system. The guidance, navigation and control algorithms must be… Read more
This post is a work-in-progress… Frequency Response Function based substructuring (FBS) predicts the dynamic behavior of a coupled system on the basis of free interface FRFs of the uncoupled components. Here is a tutorial paper: Frequency Response Function Substructuring Modal damping requires special consideration: Notes on… Read more
The Newmark-beta method can be used to solve structural dynamics problems in the time domain, of the form: M (d^2x/dt^2) + C dx/dt + K x = F This method performs direct integration on the mass, damping and stiffness matrices which may be fully-coupled. Here… Read more
The Newmark-beta method can be used to solve structural dynamics problems in the time domain, of the form: M (d^2x/dt^2) + C dx/dt + K x = F This method performs direct integration on the mass, damping and stiffness matrices which may be fully-coupled. Here… Read more
Here is a method for converting modal damping to a damping coefficient matrix for all modes. It is based on a pseudo inversion of the modal damping matrix. The resulting coefficient matrix will be fully populated. The damping terms will not necessary corresponding to physical dashpots,… Read more
The Newmark-beta method can be used to solve structural dynamics problems in the time domain, of the form: M (d^2x/dt^2) + C dx/dt + K x = F This method performs direct integration on the mass, damping and stiffness matrices which may be fully-coupled. Here… Read more
A transfer function is a type of frequency response function (FRF) that gives the steady-state response to a force input as a function of frequency. Transfer functions for structural dynamics problems can be calculated from the natural frequencies, modal damping ratios and normal modes. This… Read more