Structural Dynamics (250704) – Course 2024/25 PDF
Contents
o Mass & Stiffness o Damping o Equation of motion o Energy balance o Dynamic amplification factor & Transmission ratio
Dedication
3h Large group + 4h 11m Self Studyo SDOF Structures and Rayleigh's method o Un-damped and damped free oscillation o Forced oscillation - constant force o Forced harmonic vibration - response types, resonance o Laboratory 1 o General forced oscillation: Duhamel integral. Newmark method o Laboratory practice 2 o Earthquake loading. Response spectra o Partial Examination Problem Classes. ASSESSED (70% of grade). Delivery dates mentioned in each case. - Work Problem 1: Calculation of frequencies 1GL simple structures. - Work Issues 2: dynamic time response 1GL simple structures. Harmonic actions. - Work Problem 3: dynamic time response 1GL simple structures. Any actions. I work Problem 4: Dynamic Frequency response - Fourier Transforms. - Work Problem 5: pseudo-spectra and theoretical spectra. Laboratory classes. ASSESSED (30% of grade). The work is done and delivered on the same day on the date mentioned in each case. - Laboratory Work 1: Introduction to experimentation. Introduction to computers. Introduction to mounting connections Introduction to data acquisition. Compare Arduino and Traditional measurements. - Laboratory Work 2: Study of damped free vibrations. Cantilevered strip. It will be done with Arduino for different beam lengths for each student. Initially, Arduino-Spider comparisons will be made to show the ability of low-cost items. - Laboratory Work 3: Study of damped forced vibrations. Cantilevered strip. It will be done with Arduino for different beam lengths for each student.
Dedication
8h Large group + 4h Medium group + 9h Laboratory classes + 29h 24m Self Studyo Free vibration - modes of vibration - main frequency(ies) of vibration o Problem reduction by static condensation or Rayleigh-Ritz method o Forced vibration - modal decomposition o Earthquake loading o Simplified shear building model o Example of seismic analysis o Laboratory practice 3 o Final Project Problem Classes. ASSESSED (70% of grade). Delivery dates mentioned in each case. - Work Issues 6: Fundamental frequency in continuous structures. - Work Issues 7: structural "N" GL Systems. Shear frame structure Laboratory classes. ASSESSED (30% of grade). The work is done and delivered on the same day on the date mentioned in each case. - Laboratory Work 4: Session Programming in Matlab, Python, VisualBasic or another language. - Laboratory Work 5: Shear frame structure.
Dedication
6h Large group + 3h Medium group + 9h Laboratory classes + 25h 12m Self Study- Simplified representation of the nonlinear behavior of an oscillator: inertial nonlinearity, damping non-linearity, nonlinearity of stiffness: constitutive and geometric. Ductility of a nonlinear oscillator degree of freedom. - Inelastic response spectrum: ductility required spectrum, spectrum coefficient project, effective reduction of forces. - Formulation of dynamic equilibrium for a structure subjected to nonlinear behavior. - Linearization of the equilibrium equation. - Various nonlinear effects in structures caused by nonlinear dynamic actions - Solving the equation of motion in structures subjected to non-linear behavior. - Explicit-Implicit Solution. - Introduction to material behavior models, independent of time (damage, plasticity). Effects on the structural behavior. - Introduction to the models of material behavior, time dependent (viscoelasticity, viscoplasticity, viscodamage). Effects on the structural behavior. The structural damping and its origin in the material. - Evolution of the natural frequency of structures subjected to dynamic actions. Relationship between the change of natural frequency and structural damage. Problem Classes. ASSESSED (70% of grade). Delivery dates mentioned in each case. - Work Issues 8: nonlinear structural systems. Inelastic spectra. Ductility
Dedication
2h Large group + 1h Medium group + 4h 11m Self Study