...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...

... ,” Smart Mater. Struct. , 13 ( 6 ), pp. 1337 – 1344 . 10.1088/0964-1726/13/6/006 [5] Chang-qing , C. , and Ya-peng , S. , 1997 , “ Stability Analysis of Piezoelectric Circular Cylindrical Shells ,” ASME J. Appl. Mech. , 64 ( 4 ), pp. 847 – 852 . 10.1115/1.2788991 [6] Lee...

... as the calculations of eigenvalues and eigenvectors will be developed in Sec. 3 . The results obtained can be useful in analyzing the stability of many real-life systems modeled by Eq. (3) . To motivate our further considerations, we begin with the following example. Example 1 Consider the system...

...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...

... Division of ASME for publication in the J OURNAL OF A PPLIED M ECHANICS . Manuscript received February 28, 2016; final manuscript received April 3, 2016; published online April 20, 2016. Editor: Yonggang Huang. 28 02 2016 03 04 2016 Adhesion Nanostructure Stability Transition...

.... 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...

... Note No. 2661. Timoshenko , S. P. , and Gere , J. M. , 1961 , Theory of Elastic Stability , 2nd ed. , McGraw-Hill , New York , pp. 348 – 359 . Good , J. K. , and Beisel , J. A. , 2007 , “ Calculations Relating to Web Buckling Resulting From Roller Misalignment...

... in comparison with the vehicle’s oscillatory dynamics. This multiple scale argument leads to time-invariant models, whose stability and modal behavior can be studied using conventional eigenvalue analysis. Bursting phenomena, which have been observed repeatedly in practice ( 11 14 ), may be explained using...

...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 Denoeux , T. , and Lengellé , R. , 1993 , “ Initializing Back Propagation Networks With Prototypes ,” Neural Networks 0893-6080...

... 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 characteristics due to the interaction...

... Lyapunov methods noise stability vibrations viscoelasticity Typical examples of engineering systems subjected to parametric and external random excitations include buildings under earthquake and wind loads, off-shore platforms subjected to ocean waves, vehicles running on rough roads...