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The first objective is achieved by obtaining the equivalent radiation modal damping using time domain solutions for the fundamental mode in shear of an elastic layer (soil) on flexible rock, for the case in which the rock soil Impedance Ratio in shear, I=(ρrVr)/(ρsVs)>1, where ρ=mass density and V=shear wave velocity.
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An energy approach based on Lagrange equations, retaining modal damping, is used in order to obtain the equations of motion.
The progressive evolution of the modal damping is used as a key indicator to characterise damage on the building.
Parametric results show that a considerable modal damping can be obtained using the TMD damper if an appropriate balance between the TMD component and the MR component is achieved.
This paper presents an efficient finite element method (FEM) for computing the modal damping of laminated composites using the general purpose finite element software.
Experimental studies of damping in vibrating mechanical systems typically use modal damping factors to represent the damping.
The distributed structural damping is taken into account by using the modal damping concept, while any localized damping is treated as an external loading, determined by use of impedance matching conditions and eigenproperties of the structure.
Thus, the proposed numerical method is quite efficient and accurate, and capable of providing an effective way to determine the modal damping of anisotropic materials by using ABAQUS code.
In this paper a modified version of the blind source separation (BSS -based Second-Order BSS -basedtification (SOBI) method was used to perform modal damping identification on a model Blinde structure under varyIdentificationnditionSOBI
After that, for validation purposes, the proposed optimisation methodology is used to maximise modal damping for a single mode of a structure whose optimised configurations are known for the individual modes.
The method determines the design base shear of the structure through spectrum analysis using rationally obtained equivalent modal damping ratios instead of the crude strength reduction (behavior) factor.
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