An iterative algorithm for solving inverse problems in structural dynamics
Copyright policy )An iterative algorithm for solving inverse problems in structural dynamics
AbstractThe pulse‐spectrum technique (PST), an iterative numerical algorithm, is presented and extended to solve the inverse problems arising from the dynamic structural identification and structural design problems. A simple one‐dimensional shear beam model is used to demonstrate the applicability of PST. Numerical simulations are carried out to test the feasibility and to study the general characteristics of this technique without the real measurement and design data. It is found that the PST is not only quite robust in providing accurate results but also an excellent numerical method according to the four practical criteria for evaluating numerical methods.
- Fuzhou University China (People's Republic of)
- Stony Brook University United States
Inverse problems for PDEs, Inverse problems for waves in solid mechanics, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, pulse-spectrum technique (PST), Fredholm integral equations, one-dimensional shear beam model, Other numerical methods in solid mechanics, numerical simulations, iterative numerical algorithm, dynamic structural identification, Vibrations in dynamical problems in solid mechanics, Numerical and other methods in solid mechanics, Green's functions for ordinary differential equations, Optimization problems in solid mechanics, Wave equation, structural design problems, Fredholm equation of first kind
Inverse problems for PDEs, Inverse problems for waves in solid mechanics, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, pulse-spectrum technique (PST), Fredholm integral equations, one-dimensional shear beam model, Other numerical methods in solid mechanics, numerical simulations, iterative numerical algorithm, dynamic structural identification, Vibrations in dynamical problems in solid mechanics, Numerical and other methods in solid mechanics, Green's functions for ordinary differential equations, Optimization problems in solid mechanics, Wave equation, structural design problems, Fredholm equation of first kind
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).7 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!