... is developed to analyze stability and bifurcations of periodic solutions. A simplified model of wave propagation in a strongly nonlinear monatomic chain is examined in detail. The study reveals the amplitude-dependent property of nonlinear wave propagation in the structure and relationships among the frequency...

...A. Avetisyan; K. Ghazaryan; P. Marzocca The stability of a current-carrying beam in an external magnetic field is studied in this paper. The beam rests on periodic supports and is modeled as an Euler–Bernoulli elastic beam. Based on the linearized stability equation and propagator transfer matrix...

...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...

... for publication in the J ournal of A pplied M echanics . 23 02 2021 03 05 2021 03 05 2021 24 05 2021 shells stability buckling post-buckling analysis modeling Thin-walled cylindrical shells are widely used in many engineering fields, such as offshore structures...

... request. The authors attest that all data for this study are included in the paper. Data provided by a third party are listed in Acknowledgment. No data, models, or codes were generated or used for this paper. References [1] Kirillov , O. N. , 2013 , Nonconservative Stability Problems...

...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...

... interestingly, in a subsequent study, Boddeti et al. [ 7 ] noticed that the initial growth of the graphene blister may be either stable or unstable, depending on the depth of the hole. The stability of the blister growth may be understood based on the p–V curves (Fig. 12( a ) ). With a finite depth ( d...

.... 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...

... (machinery) stability tensile strength Tension field buckling in thin webs has long been a topic of interest in the aircraft industry. Thin webs buckle at low levels of shear. After the initial buckling occurs, the web can withstand much higher shear levels. This is accomplished by developing...

... for the steady-state normal loads and lateral tire forces as a function of the camber angle. This section concludes with the computation of the cambered-road-related inertial forces and the associated stability loci. The results are discussed, with conclusions drawn in Sec. 7 . We will extend the classical...

...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. 08 01 2007 08 10 2008 05 03 2009 Fokker-Planck equation Markov processes partial differential equations probability stability Classical definitions of stability and instability deal with long-term...

...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...

... computing nonlinear dynamical systems nonlinear functions prototypes robust control stability 26 05 2006 26 08 2007 15 08 2008 One more example is shown in Fig. 5 for the multislope nonlinearity (type IV in Fig. 2 ) following the decomposition idea shown in Fig. 4b...