6 papers
Large Deflections of Inextensible Cantilevers: Modeling, Theory, and Simulation
Maria Deliyianni, Varun Gudibanda, Jason Howell +1
A recent large deflection cantilever model is considered. The principal nonlinear effects come through the beam's inextensibility---local arc length preservation---rather than trad…
A Thorough Look at the (In)Stability of Piston-theoretic Beams
Jason Howell, Katelynn Huneycutt, Justin T. Webster +1
We consider a beam model representing the transverse deflections of a one dimensional elastic structure immersed in an axial fluid flow. The model includes a nonlinear elastic rest…
A Cantilevered Extensible Beam in Axial Flow: Semigroup Well-posedness and Post-flutter Regimes
Jason Howell, Daniel Toundykov, Justin T. Webster
We consider a cantilevered (clamped-free) beam in an axial potential flow. Certain flow velocities may bring about a bounded-response instability in the structure, termed {\em flut…
Quasi-stability and Exponential Attractors for A Non-Gradient System---Applications to Piston-Theoretic Plates with Internal Damping
Jason S. Howell, Irena Lasiecka, Justin T. Webster
We consider a nonlinear (Berger or Von Karman) clamped plate model with a {\em piston-theoretic} right hand side---which include non-dissipative, non-conservative lower order terms…
Dynamic Modeling of Nontargeted and Targeted Advertising Strategies in an Oligopoly
Chloe A. Fletcher, Jason S. Howell
With the growing collection of sales and marketing data and depth of detailed knowledge of consumer habits and trends, firms are gaining the capability to discern customers of othe…
Prestructuring sparse matrices with dense rows and columns via null space methods
Jason S. Howell
Several applied problems may produce large sparse matrices with a small number of dense rows and/or columns, which can adversely affect the performance of commonly used direct solv…