Download Dynamics of Flexible Multibody Systems: Rigid Finite Element by Edmund Wittbrodt PDF

By Edmund Wittbrodt

A new technique is gifted for modelling multi-body structures, which constitutes a considerable enhancement of the inflexible Finite point process. the hot procedure relies on homogeneous adjustments and joint coordinates, and it yields the virtue that equations of movement are immediately generated for platforms which includes trade inflexible and versatile hyperlinks. except its basic actual interpretation and straightforward desktop implementation, the strategy can also be worthwhile for academic reasons because it impressively illustrates the influence of mechanical gains at the mathematical version. This novel modelling method is then utilized to platforms comparable to offshore-cranes and telescopic rapiers.

Show description

Read or Download Dynamics of Flexible Multibody Systems: Rigid Finite Element Method (Foundations of Engineering Mechanics) PDF

Best mechanical engineering books

Spanen: Grundlagen

Das in dritter Auflage erscheinende Buch beschreibt die physikalischen Grundlagen des Spanens nach neusten Erkenntnissen der Forschung. Damit verknüpft werden wichtige Bereiche der dadurch möglichen Anwendungen, wie Hochgeschwindigkeitsspanen, Hochleistungsspanen, Trockenbearbeitung und Hartbearbeitung (Hartdrehen und -fräsen), vorgestellt.

Flow Measurement Engineering Handbook

A brand new variation of the authoritative, single-source guide to the choice, layout, specification, and set up of flowmeters measuring liquid, fuel, and steam flows. Miller (president, RW Miller Consulting) provides the major info on seven-place equation constants and simplifying equations and comprises many examples, graphs, and tables to assist increase functionality, and keep time and cost.

Stirling Cycle Engines: Inner Workings and Design

A few two hundred years after the unique invention, inner layout of a Stirling engine has turn out to be thought of a consultant job, calling for vast event and for entry to stylish computing device modelling. The low parts-count of the kind is negated by way of the complexity of the gasoline strategies in which warmth is switched over to paintings.

Macroscopic and Large Scale Phenomena: Coarse Graining, Mean Field Limits and Ergodicity

This e-book is the offspring of a summer time university university “Macroscopic and massive scalephenomena: coarse graining, suggest box limits and ergodicity”, which used to be held in 2012 on the collage of Twente, the Netherlands. the focal point lies on mathematically rigorous tools for multiscale difficulties of actual origins.

Additional resources for Dynamics of Flexible Multibody Systems: Rigid Finite Element Method (Foundations of Engineering Mechanics)

Example text

80a) where P is the force expressed in the global system { } and r is the vector of coordinates of the point at which force P acts in the system { }. 80a) can be then rewritten as: Qk (P ) = P T BT Bk r . ,3 spective elements of Bk . 82). 7 Generalisation of the Procedure Further considerations lead to the derivation of the equations of motion of an open kinematic chain of rigid bodies (Fig. 14). 28 2 Homogenous Transformations link p ∼(p ) link p -1 q ∼(p -1) (p -1) q ,q = ,q(p ) = q(p -1) ∼(p ) q q(p -2) ∼ q (p -1) link 2 ∼(2) q {A} A Xˆ 3 ∼(1) q(1) =q link 1 A A q(1) ,q(2) = ∼ q (2) Xˆ 2 Xˆ 1 Fig.

P) . 54) are not zeros. It remains to discuss the case of rfe (p, 0) as in Fig. 9. Since the position of rfe (p, i) for i = 1, . . 3 Energy of Deformation and Dissipation of Energy of Link p 57 {p,0}Y ={p,kr}Y rfe (p,kr) rfe (p,0) sde (p,k) Fig. 9. Position of rfe (p, kr ) and rfe (p, 0) and y˙ (p,kl ) contain components which equal zero when sde (p, k) connects rfe (p, kr ) with rfe (p, 0). 50b) do not (p,k) are have to be calculated and thus the only nonzero elements of vector vl those in rows corresponding to l = kr .

34), we obtain: (p,i) Tl (p,i) , a ˜np,0 +l,np,0 +j = tr B0 = tr Dl,j (p,i) (p,i) H(p,i) B0 (p,i) T Tj l, j = 1, . . , 6. 1. It should be noted that only elements of matrix A(p,i),(p,i) with subscripts (4, 6), (6, 4), (5, 5), (5, 6), (6, 5) and (6, 6) are variables since (p,i) (p,i) they depend on ϕ1 and ϕ2 . The remaining elements are constant and most of them equal zero. Of all 36 elements only six change. 26) equal zero. 2 contains nonzero values of the traces of matrix products which are connected with rfe (p, i).

Download PDF sample

Rated 5.00 of 5 – based on 30 votes