Mechanical systems are subjected to varying levels of nonlinearities ranging from nonsmooth clearance type nonlinearities of geared systems, friction and damping nonlinearities to geometric and material nonlinearities. Prediction of the dynamic behavior of systems with strong nonlinearities requires computationally expensive models which constitutes a major challenge in the analysis, control, and design of mechanical systems. Our research aims to bring a fundamental understanding to real-life engineering problems from nonlinear dynamics perspective.
Fundamental Theories & Methods
-Nonlinear theories of elasticity and large deformation problem (smooth systems)
-Contact, friction, and impact dynamics (nonsmooth systems)
-Interactions with gyroscopic systems and structural traveling waves.
Key Challenges:
-Equations governing nonlinear dynamical systems are difficult to tackle, especially for large systems. General-purpose tools often fall short.
-Model complexity must be carefully tailored—overly simplistic models miss critical dynamics, while overly detailed ones become intractable.
Scientific Approach:
–Advanced analytical and numerical solution methodologies tailored for nonlinear dynamics.
–Experiments to validate models and refine assumptions.
-A unified framework that supports both smooth (elasticity, deformation) and nonsmooth (contact, impact) nonlinearities
Applications
Micromechanical Resonators
-A critical goal of providing precise navigation in aerospace, defense, and autonomous systems through MEMS-based sensing has yet to be achieved.
-That is mostly due to the limitations imposed by the narrow linear operating range.
-Our ongoing research seeks to overcome this barrier by exploiting structural nonlinearities.
Power Transmission Applications
-Traditionally, problems in this field were addressed primarily from a design standpoint using empirical formulas.
-Since the 1990s, dynamics have become integral part of the design process. (Low-moderate speeds & stiff structural design)
-The rise of electrified powertrains and high-speed light-weight aerospace drives has introduced new dynamic challenges.
Research directions:
-Deformable-body gear dynamics and dynamic load distribution problem
-Design – dynamics – acoustics interrelationship
-Tribo-dynamic modeling
