...Firdaus E. Udwadia; Ranislav M. Bulatovic The stability of general linear multidegree of freedom stable potential systems that are perturbed by general arbitrary positional forces, which may be neither conservative nor purely circulatory/conservative, is considered. It has been recently recognized...

... . Section 4.2 presents a parametric study on post-buckling response of axially compressed cylindrical panels conducted for panels with varying dimensions, and design contours are provided for NSD cylinders with a specific radius and body thickness. shells stability buckling post-buckling...

.... equilibrium stability potential forces circulatory forces rank conditions dynamics We consider a holonomic scleronomic mechanical system with n degrees-of-freedom, described by generalized coordinates q ∈ R n . The kinetic energy has the form E k = q ˙ T M ( q...

...Zhangxian Yuan; George A. Kardomateas This is a series of two papers in which the nonlinear stability behavior of sandwich panels is investigated. This part presents the buckling behavior and focuses on the critical load and the buckling mode. The buckling analysis is based on the extended high...

... received March 9, 2016; published online May 5, 2016. Editor: Yonggang Huang. 25 02 2016 09 03 2016 Mechanical properties of materials Smart materials Stability Structures Active motions occur in all kinds of organisms, tissues and cells in the living creatures. In plants...

... Nanostructure Stability Transition Pressurized blister tests are commonly used to measure mechanical and adhesion properties of thin films and coatings [ 1 – 4 ]. Several types of blister tests have been developed, including the standard blister test, island blister test, constrained blister test...

.... In particular, we consider the stability and postbuckling behavior of both isotropic and composite shells. The solution is based on the relationships for the cubic version of nonlinear Timoshenko-type shell theory. A comparison is made with the well-established quadratic version, as well as analytical solutions...

... in the longitudinal and transverse directions are usually designed to control the vibration near the simultaneous subharmonic and internal resonance where system damage is probable. The theoretical results are obtained by applying the multiple scale perturbation technique (MSPT). The stability of the obtained...

... the nonlinear behavior of one clamped microbeam actuated by a combined dc/ac scheme. The beam displacement is analyzed as a function of both the magnitude and the frequency of the ac voltage. Finally, the actuating conditions, which ensure the stability of the microbeam, are identified by reference to phase...

...Xiao-Dong Yang; Li-Qun Chen; Jean W. Zu The vibrations and stability are investigated for an axially moving rectangular antisymmetric cross-ply composite plate supported on simple supports. The partial differential equations governing the in-plane and out-of-plane displacements are derived...

... of the DQM. The application of the formulation is then shown by solving some moving load class of problems (i.e., moving force, moving mass, and moving oscillator problems). The stability property and computational efficiency of the scheme are also discussed in detail. Numerical results show...

... the magnitude of σ y c r and thus stabilize the web. To determine the value of n , which is correct for a given value of σ x , requires consideration of minimum energy. For given values of a , b , and n , note that Eq. 3 is a linear relationship between σ y...

... oscillations position control vehicle dynamics wheels bicycle dynamics bursting phenomena d’Alembert’s principle multibody mechanics stability time-varying linear systems cambered roads The earliest and most widely recognized studies of bicycle dynamics are by Carvallo ( 1 ) and Whipple...

...Johan Blaauwendraad Since Haringx introduced his stability hypothesis for the buckling prediction of helical springs over 60 years ago, discussion is on whether or not the older hypothesis of Engesser should be replaced in structural engineering for stability studies of shear-weak members...

...Jinyu Zhu; W.-C. Xie; Ronald M. C. So; X. Q. Wang The dynamic stability of a two degrees-of-freedom system under bounded noise excitation with a narrowband characteristic is studied through the determination of moment Lyapunov exponents. The partial differential eigenvalue problem governing...

... for an expected time interval between outbreaks in the intermittent response. Fokker-Planck equation Markov processes partial differential equations probability stability Classical definitions of stability and instability deal with long-term behavior of dynamic systems, that is, behavior at t...

...Wei-Chau Xie; Qinghua Huang Moment Lyapunov exponents are important characteristic numbers for describing the dynamic stability of a stochastic system. When the p th moment Lyapunov exponent is negative, the p th moment of the solution of the stochastic system is stable. Monte Carlo simulation...

... mechanical engineering computing nonlinear dynamical systems nonlinear functions prototypes robust control stability The initialization of neural networks is the foremost step in training them to approximate functions. This critical step affects both the speed and precision of training...

... eigenvalues and eigenfunctions Galerkin method mechanical stability Newton-Raphson method partial differential equations shells (structures) vibrations shell panels stability limit points Galerkin technique axial compression The changes in the plate and shell panel vibration...

..., vehicles running on rough roads, airplanes in turbulent streams, etc. The common property of the loads is their uncertainty, or the stochastic effect. In order to perform analytical analysis to these systems, mathematical models are required under the framework of stochastic dynamics and stability...