A lumped physical model of the glottal source is presented. Vocal folds are described as single masses, but vertical phase differences between upper and lower margins of the folds are taken into account by appropriately describing the non-linear interaction of the mechanical model with aerodynamics. This results in a modified one-mass model, or a “one-delayed-mass model”. Analysis on numerical ...

We study a robust optimal stopping problem with respect to a set P of mutually singular probabilities. This can be interpreted as a zero-sum controller-stopper game in which the stopper is trying to maximize its pay-off while an adverse player wants to minimize this payoff by choosing an evaluation criteria from P . We show that the upper Snell envelope Z of the reward process Y is a supermarti...

This paper examines the implications of human capital risk for the relationship between inequality and economic development. It argues that due to missing insurance markets for human capital risk, the initial distribution of family wealth may play an important role for an economy’s process of development fueled by human capital accumulation. The analysis suggests that, in the absence of credit ...

We report the measurement of Kerr nonlinearity of thin films of GaN by using the eclipsing Z-scan technique. The measurement was performed using 100 fs pulses at 800 nm. We measured a pure refractive signal, whose associated nonlinear Kerr coefficient was n2 = (−7.3 ± 0.4)× 10−14 cm2 W−1.

Nonlinear magneto-optical diffraction from periodically structured samples has been studied using magnetization-induced second harmonic generation ~MSHG!. Several orders of diffraction were clearly observable in MSHG, along with a strong dependence on the magnetization. Sizeable asymmetry between the MSHG signal measured in positive and negative diffraction peaks, especially visible in second o...

The sensitive dependence on initial conditions (SDIC) associated with nonlinear models imposes limitations on the models’ predictive power. We draw attention to an additional limitation than has been under-appreciated, namely structural model error (SME). A model has SME if the model-dynamics differ from the dynamics in the target system. If a nonlinear model has only the slightest SME, then it...

        Sensitivity analysis of structures considering their nonlinear behavior has recently been an important process in optimal design of them based on new design concepts such as Performance-Based Design (PBD). The main objective of this research is to develop an efficient and applicable method for nonlinear sensitivity analysis of Reinforcement Concrete Moment Resisting Frames (RCMRF) accou...

In this paper, nonlinear vibration analysis of functionally graded piezoelectric (FGP) beam with porosities material is investigated based on the Timoshenko beam theory. Material properties of FG porous beam are described according to the rule of mixture which modified to approximate material properties with porosity phases. The Ritz method is used to obtain the governing equation which is then...

The following article investigates nonlinear symmetric buckling of moderately thick circular Nano plates with an orthotropic property under uniform radial compressive in-plane mechanical load. Taking into account Eringen nonlocal elasticity theory, principle of virtual work, first order shear deformation plate theory (FSDT) and nonlinear Von-Karman strains, the governing equations are obtained ...

This paper aims at investigating the nonlinear behavior of a system which is consisting of two free-free beams which are connected by a nonlinear joint. The nonlinear system is modelled as an in-extensional beam with Timoshenko beam theory. In addition, large amplitude vibration assumption is taken into account in order to obtain exact results. The nonlinear assumption in the system necessities...