Explicit form of an implicit method for inverse force identification

A novel state space method for force identification based on the Galerkin weak formulation

“…In this section, numerical studies are considered to evaluate the performance of the GW method in comparison to the conventional state space method [20] and the Newmark method [22]. A 12-bay plane truss structure is taken as the numerical model.…”

“…To overcome this disadvantage, the conventional implicit Newmark method for the forward dynamic analysis was transformed into an equivalent explicit form for force identification [22]. The explicit Newmark algorithm is more accurate compared with the conventional state space method, especially when the sampling frequency is low.…”

Statistical Regularization for Identification of Structural Parameters and External Loadings Using State Space Models

“…Liu et al. () presented an explicit state space form of an implicit Newmark‐β method for inverse force identification. In addition, unknown force time histories can be also identified through sensitivities of the output responses in the time domain (Lu and Law, ; Yan and Zhou, ).…”

“…Wang et al (2013) studied sensor placement methods to improve the conditioning of the system Markov parameter matrix in state space for unknown force identification. Liu et al (2014) presented an explicit state space form of an implicit Newmark-β method for inverse force identification. In addition, unknown force time histories can be also identified through sensitivities of the output responses in the time domain (Lu and Law, 2006;Yan and Zhou, 2009).…”

Sensitivity Enhancement for Structural Condition Assessment with Noisy Excitation or with Only Output

“…The sensitivity enhancement method is therefore implemented in a two step method in this report for the structural condition assessment when only the initial structural model and measured responses are available. Liu et al 21 have recently proposed a new force identi¯cation method, which has been shown to give more accurate identi¯cation results when compared with the conventional time domain force identi¯cation method. With the advantages of the newly developed force identi¯cation technique and the sensitivity enhancement method, the excitation and the structural condition could be satisfactorily identi¯ed iteratively as shown in the simulation studies below.…”