...Karim Sherif; Hans Irschik; Wolfgang Witteveen In multibody dynamics, the flexibility effects of each body are captured by using a linear combination of elastic mode shapes. If a co-rotational and co-translating frame of reference is used together with eigenvectors of the unconstraint body, which...

... at the contact points of rolling elements and races, whose stiffnesses are obtained by using Hertzian elastic contact deformation theory. The numerical integration technique Newmark-β with the Newton–Raphson method is used to solve the nonlinear differential equations, iteratively. The effect of bearing running...

...Jiang Zhao; Qiang Tian; Haiyan Hu Modal analysis of a rotating thin plate is made in this paper through the use of the thin plate elements described by the absolute nodal coordinate formulation (ANCF). The analytical expressions of elastic forces and their Jacobian matrices of the thin plate...

... and postcritical regions. A wing cross-section b wing semichord e distance between the center of gravity and the elastic axis of the wing E Young’s modulus G shear modulus H Heaviside function I wing cross-section moment...

... yield a velocity-strengthening effect. For a realistic bit geometry, the velocity-weakening effect is dominant, leading to the onset of torsional vibrations. 14 10 2009 23 06 2010 22 10 2010 22 10 2010 damping drilling (geotechnical) elasticity friction vibrations...

... of Planetary Gears With an Elastic Continuum Ring Gear ,” ASME J. Appl. Mech. 0021-8936 , 75 ( 3 ), p. 031014 . 10.1115/1.2839892 Kiracofe , D. R. , and Parker , R. G. , 2007 , “ Structured Vibration Modes of General Compound Planetary Gear Systems ,” ASME J. Vibr. Acoust. 0739-3717...

...Masataka Fukunaga; Nobuyuki Shimizu Two types of models are proposed for describing nonlinear fractional derivative dynamical behavior of viscoelastic materials subject to impulse forces. The models are derived based on the thermodynamic elasticity in terms of entropy and on the “scale-free...

...Takashi Ikeda Nonlinear vibrations of an elastic structure with two partially filled liquid tanks subjected to horizontal harmonic excitation are investigated. The natural frequencies of the structure and sloshing satisfy the tuning condition 1:1:1 when tuned liquid dampers are used. The equations...

... elasticity electrostatics molecular biophysics rods (structures) Deoxyribonucleic acid (DNA) is an essential molecule that enables the storage and retrieval of genetic information. Following the discoveries of Watson and Crick ( 1 ) and Franklin and Gosling ( 2 ) over 50 years ago, the double...

... and kinematic differences between two independent space curves cannot always be reduced by using restoring elastic forces. Because of the nonuniqueness of such a finite element representation, imposing continuity on higher derivatives such as the curvature vector is not straight forward as in the case...

... of the element coordinates x ¯ i , and, therefore, the elastic forces are defined as an area element in the case of two-dimensional problems, which allows for describing the deformation of the beam cross section. This, however, leads to highly coupled deformation modes ( 15 ), and the shear...

... on an elastic line approach. In the last formulation, the shear locking of the antisymmetric bending mode is avoided by the application of either the two-field Hellinger–Reissner or the three-field Hu–Washizu variational principle. The comparison is made by means of linear static deflection and eigenfrequency...

...Muhammad Tanveer; Anand V. Singh A unified approach to study the forced linear and geometrically nonlinear elastic vibrations of fiber-reinforced laminated composite plates subjected to uniform load on the entire plate as well as on a localized area is presented in this paper. To accommodate...

...Hiroyuki Sugiyama; Yoshihiro Suda In this investigation, contact search algorithms for the analysis of wheel/rail contact problems are discussed, and the on-line and off-line hybrid contact search method is developed for multibody railroad vehicle dynamics simulations using the elastic contact...

...Dénes Takács; Gábor Stépán The lateral vibration of towed wheels—so-called shimmy—is one of the most exciting phenomena of vehicle dynamics. We give a brief description of a simple rig of elastic tire that was constructed for laboratory measurements. A full report is given on the experimental...

...Akira Saito; Matthew P. Castanier; Christophe Pierre; Olivier Poudou The efficient nonlinear vibration analysis of a rotating elastic structure with a crack is examined. In particular, the solution of the forced vibration response of a cracked turbine engine blade is investigated. Starting...

... convergence is achieved in the case of stiff structures using this number of elements; in the extreme case of very flexible structure convergence is not achieved using the proposed number of finite elements (Figs. 8–13) regardless of the method used in formulating the elastic forces. This is mainly due...

... response into the otherwise often-linear structural model. Recent studies have successfully captured and simulated mechanical joint dynamics using computationally simple phenomenological models of combined elasticity and slip with associated friction and energy dissipation, known as Iwan models...

...Philip P. Garland, Ph.D. Candidate; Robert J. Rogers A new solution method for the oblique elastic impact of similar spheres with Coulomb friction is presented. The solution uses approximations of the shear stress distributions at each time step during impact. These distributions are solved from...

... to neglect the ratio of elastic modulus. Cauchy number is defined as C a =(normal internal force of structure)/(inertial force of air). The scale of pretension can be derived from this number as 2 λ pretension = ρ a V m 2 L m 2 ρ a V p 2 L p 2 = λ V...