![Loading...](https://link.springer.com/static/c4a417b97a76cc2980e3c25e2271af3129e08bbe/images/pdf-preview/spacer.gif)
-
Article
A modified star-shaped phononic crystal for the vibration wave filtration in plates: design and experiment
In the present paper, an auxetic tape composed of modified star-shaped unit cells is used to filter the propagation of elastic waves in two-dimensional structures. The pattern of the designed bandgaps and thei...
-
Article
A new circular-maze-shaped phononic crystal with multiband and broadband vibration filtration feature: design and experiment
Here, the elastic wave dispersion characteristics of a new circular-maze-shaped (CMS) phononic crystal are numerically and experimentally investigated. A parametric study is performed on the critical parameter...
-
Article
Full-Gradient Optimization of the Vibroacoustic Performance of (Non-)auxetic Sandwich Panels
This paper aims to optimize vibro-acoustic response of (non-) auxetic sandwich panels by use of topology optimization method. First, structural noise and vibration responses of the auxetic panel with the re-en...
-
Article
Inlay-inspired meta-piezoelectric plates for the low-frequency vibration energy harvesting
Different novel auxetic geometries are proposed applicable for the low-frequency vibration energy harvesting. The geometrical idea originally comes from the patterns employed in the inlaid work. The concept is...
-
Article
Open AccessStudy in circular auxetic structures for efficiency enhancement in piezoelectric vibration energy harvesting
Piezoelectric (PZT) components are one of the most popular elements in vibration sensing and also energy harvesting. They are very well established, cost effective and available in different geometries however...
-
Article
Elastic and viscoelastic foundations: a review on linear and nonlinear vibration modeling and applications
This paper presents a comprehensive review on different theoretical elastic and viscoelastic foundation models in oscillatory systems. The review covers the simplest foundation models to the most complicated o...
-
Article
Multi-resonance analysis of a viscoelastically supported orthotropic plate with an inclined crack
Vibration behavior of an orthotropic cracked plate embedded in a nonlinear Winkler–Pasternak elastic foundation is studied in this paper. The plate’s imperfection is due to an inclined crack started on the sur...
-
Chapter
Classical Methods
Several classical approaches for solving nonlinear oscillatory systems and different types of singular points are introduced in this chapter. Different perturbation techniques, such as straightforward expansio...
-
Chapter
Residual Methods
The focus of this chapter is on the residual-based methods. Initially, the basic idea behind these methods and full discussions on the main residual methods is presented. The frequency–amplitude formulation (F...
-
Chapter
Integral Based Methods
Three well-known semi-analytical techniques are introduced in this chapter. The background and mathematical procedure of these techniques, namely, Adomian Decomposition method (ADM), Variational Iteration meth...
-
Chapter
Introduction
This chapter outlines an introduction to nonlinear oscillations with a historical overview of this field considering three different time periods since 1900. Real-world modelling of nonlinear systems in differ...
-
Chapter
Energy Balance Methods
Most of semi-analytical techniques, based on Energy Balance method (EBM), are presented in this chapter and the fundamental of Energy Balance method and its modified version, based on the Galerkin and Petrov–G...
-
Chapter
Semi-inverse and Variational Methods
Semi-inverse method and variational principle are explained in this chapter, and the Hamiltonian and variational approaches are discussed in detail. The direct relationship between these two techniques is math...
-
Chapter
Nonlinearities in Nano- and Microsystems
Existence of nonlinearities in very small-sized structures is scrutinized in this chapter and shown how nonlinear behavior will occur in nano- and microsystems. The mathematical model of micro–nanosystems, bas...
-
Article
Approximate solution for acoustic scattering by a nonlinear composite beam
Dynamic behavior of a nonlinear composite beam under the action of acoustic incident waves is analyzed in this paper. Frequency responses are obtained in primary resonance condition. The coupled vibroacoustic ...
-
Article
Optimal strain gauge placement in instrumented wheelset for measuring wheel-rail contact forces
Concurrent measurement of the wheel-rail contact forces is always a crucial factor in design of safe railway vehicles. Commonly, instrumented wheelset has been developed towards this goal. A novel technique fo...
-
Article
Chaos control for the plates subjected to subsonic flow
The suppression of chaotic motion in viscoelastic plates driven by external subsonic air flow is studied. Nonlinear oscillation of the plate is modeled by the von-Kármán plate theory. The fluid-solid interacti...
-
Article
Nonlinear vibration analysis of fluid-conveying microtubes
Non-classical beam theory is employed to study higher modes of free vibration of a microtube conveying fluid. The modified couple stress theory is utilized to model the size-dependent vibration of the microtub...
-
Article
Nonlinear harmonic vibration and stability analysis of a cantilever beam carrying an intermediate lumped mass
Nonlinear forced vibration of a cantilever beam with an intermediate lumped mass is studied, and the nonlinear governing equation of the vibrating beam using Euler–Lagrange method is derived. Two types of nonl...
-
Article
Chaos prediction in nonlinear viscoelastic plates subjected to subsonic flow and external load using extended Melnikov’s method
Chaotic behavior of the viscoelastic plates subjected to subsonic flow and simultaneous external excitation is studied in this paper. The equation of motion of the plate is derived using the von-Kármán theory....