This paper presents a finite element formulation for the dynamics analysis of the steady and transient states of a nonlinear piezoelectric beam. A piezoelectric beam with damping is studied under harmonic excitation. A numerical method is used for this analysis. In the paper, the central difference formula of four order is used and compared with the central difference formula of two order in th...

The shape and the amplitude of the design spectrum are critical to the safe design of structures. This paper presents suggested changes to the shape constraints for the design spectrum in the 0.5 to 3 Hz range for large intraplate earthquakes. The main recommendation arises because of the impact on a large pulse loading within an intraplate earthquake with a frequency of 1 to 2 Hertz. Newmark a...

This paper presents a general approach for the stability analysis of the time-domain finite-element method (TDFEM) for electromagnetic simulations. Derived from the discrete system analysis, the approach determines the stability by analyzing the root-locus map of a characteristic equation and evaluating the spectral radius of the finite element system matrix. The approach is applicable to the T...

The purpose of the paper is to apply monotone multigrid methods to static and dynamic biomechanical contact problems. In space, a finite element method involving a mortar discretization of the contact conditions is used. In time, a new contact–stabilized Newmark scheme is presented. Numerical experiments for a two body Hertzian contact problem and a biomechanical application are reported.

This paper investigates the nonlinear dynamic behavior of a nonlocal functionally graded Euler–Bernoulli beam resting on fractional visco-Pasternak foundation and subjected to harmonic loads. The proposed model captures both, parameter considering elastic stress gradient field material length scale strain field. Additionally, von Karman strain–displacement relation is used describe geometrical ...

CALIBRATION AND RANKING OF COARSE-GRAINED MODELS IN MOLECULAR SIMULATIONS USING BAYESIAN FORMALISM Hadi Meidani,1,∗ Justin B. Hooper,2 Dmitry Bedrov,2 & Robert M. Kirby3 1Department of Civil and Environmental Engineering, 1211 Newmark Civil Engineering Laboratory, University of Illinois at Urbana-Champaign, Urbana, IL 61822, USA 2Department of Materials Science & Engineering, 206 Civil and Mate...

A shape design sensitivity analysis (DSA) and optimization of structural transient dynamics are proposed for the finite deformation elastoplastic materials under impact with a rigid surface. A shape variation of the structure is considered using the material derivative approach in continuum mechanics. Hyperelasticitybased multiplicatively decomposed elastoplasticity is used for the constitutive...

abstract for seismic design, it is important to estimate the, maximum lateral displacement (inelastic displacement) of the structures due to earthquakes for several reasons. seismic design provisions estimate the maximum roof and storey drifts occurring in major earthquakes by amplifying the roof displacement and drifts of the structures obtained by elastic analysis subjected to seismic design ...