Analysis of Spaghetti Problem Using Multibody Dynamics.

Sensitivity Analysis of Multibody Dynamics Using Spatial Operators

This paper discusses an approach for sensitivity analysis of multibody dynamics using spatial operators. The spatial operators are rooted in the function space approach to estimation theory developed in the decades that followed the introduction of the Kalman filter. The operators provide a mathematical framework for studying a wide range of analytical and computational problems associated with...

analysis of ruin probability for insurance companies using markov chain

در این پایان نامه نشان داده ایم که چگونه می توان مدل ریسک بیمه ای اسپیرر اندرسون را به کمک زنجیره های مارکوف تعریف کرد. سپس به کمک روش های آنالیز ماتریسی احتمال برشکستگی ، میزان مازاد در هنگام برشکستگی و میزان کسری بودجه در زمان وقوع برشکستگی را محاسبه کرده ایم. هدف ما در این پایان نامه بسیار محاسباتی و کاربردی تر از روش های است که در گذشته برای محاسبه این احتمال ارائه شده است. در ابتدا ما نشا...

Dynamics of Multibody Systems

Iterative Rigid Multibody Dynamics

The simulation of large rigid multibody systems is a challenge. Collisions and friction constraints cause non-smooth motions of the rigid bodies. Differential complementarity problems are therefore used to formulate the dynamical system. The efficient solution of such problems is difficult and the major focus of this thesis. Several modeling choices of varying accuracy and difficulty are presen...

Symbolic Lagrangian Multibody Dynamics

Symbolic Lagrangian formulations of the equations of motion of tree structured constrained mechanical systems have the potential to be both more efficient and more numerically robust than formulations which use nonlinear kinematic constraint equations. We derive a simple recursive factorization of the Lagrangian equations of motion which, along with our extended implementation of the D* symboli...