scholarly journals Optimal Policy with Occasionally Binding Constraints: Piecewise Linear Solution Methods

2021 ◽  
Author(s):  
Richard Harrison ◽  
Matthew Waldron
Keyword(s):  
Optimal Policy ◽  
Piecewise Linear ◽  
Linear Solution ◽  
Solution Methods ◽  
Binding Constraints ◽  
Occasionally Binding Constraints

MODELLING STATE-CONTINGENT FISCAL RULES IN THE UNITED KINGDOM

2020 ◽  
Vol 254 ◽  
pp. R41-R53
Author(s):  
Jamie Rush
Keyword(s):  
United Kingdom ◽  
Fiscal Rules ◽  
Output Gap ◽  
Gdp Growth ◽  
British Government ◽  
The United Kingdom ◽  
Solution Methods ◽  
Binding Constraints ◽  
The Uk ◽  
Occasionally Binding Constraints

I assess a novel rule that was introduced in the UK in 2015. It gave the British government fiscal flexibility whenever GDP growth warranted it. This rule lasted just a year, but it had features worth exploring. I apply solution methods for models with occasionally-binding constraints to assess the demand stabilisation properties of state-contingent fiscal rules. First it is shown that fiscal flexibility can make recessions shallower. Second, it is suggested that GDP growth, rather than measures of the output gap, is a better indicator for triggering fiscal flexibility.

A Detailed Study of the Low-Frequency Periodic Behavior of a Dry Friction Oscillator

1997 ◽  
Vol 119 (3) ◽  
pp. 491-497 ◽  
Author(s):  
C. J. Begley ◽  
L. N. Virgin
Keyword(s):  
Frequency Response ◽  
Dry Friction ◽  
Piecewise Linear ◽  
Low Frequency ◽  
Viscous Damping ◽  
Linear Solution ◽  
Solution Methods ◽  
Friction Oscillator ◽  
Friction Models ◽  
Frequency Ratios

This work examines the periodic stopping motion present in the low-frequency response of a dry friction oscillator, excited harmonically through a base spring. Piecewise linear solution methods are used to compare two simple friction models, to consider the effects of viscous damping, and to illustrate stability considerations. Seeding phenomena, particularly at degenerate frequency ratios, are noted. Finally, experimental results provide a means to assess the effectiveness of the simple friction models in predicting observed motion.

scholarly journals Piecewise-Linear Approximations and Filtering for DSGE Models with Occasionally Binding Constraints

2020 ◽  
Vol 2020 (1272) ◽  
Author(s):  
◽  
Borağan S. Aruoba ◽  
Pablo Cuba-Borda ◽  
Kenji Higa-Flores ◽  
Frank Schorfheide ◽  
...  
Keyword(s):  
Piecewise Linear ◽  
Dsge Models ◽  
Linear Approximations ◽  
Binding Constraints ◽  
Piecewise Linear Approximations ◽  
Occasionally Binding Constraints

scholarly journals Piecewise-Linear Approximations and Filtering for DSGE Models with Occasionally Binding Constraints

2020 ◽  
Author(s):  
S. Borağan Aruoba ◽  
Pablo Cuba-Borda ◽  
Kenji Higa-Flores ◽  
Frank Schorfheide ◽  
Sergio Villalvazo
Keyword(s):  
Piecewise Linear ◽  
Dsge Models ◽  
Linear Approximations ◽  
Binding Constraints ◽  
Piecewise Linear Approximations ◽  
Occasionally Binding Constraints

Characterization of Nonlinear Rattling Behavior of a Gear Pair Through a Validated Torsional Model

2021 ◽  
Author(s):  
Ata Donmez ◽  
Ahmet Kahraman
Keyword(s):  
Piecewise Linear ◽  
Nonlinear Behavior ◽  
Severity Index ◽  
System Response ◽  
Gear Pair ◽  
Computationally Efficient ◽  
Linear Solution ◽  
Set Up ◽  
The Impact ◽  
Gear Rattle

Abstract Dynamic response of a gear pair subjected to input and output torque or velocity fluctuations is examined analytically. Such motions are commonly observed in various powertrain systems and identified as gear rattle or hammering motions with severe noise and durability consequences. A reduced-order torsional model is proposed along with a computationally efficient piecewise-linear solution methodology to characterize the system response including its sensitivity to excitation parameters. Validity of the proposed model is established through comparisons of its predictions to measurements from a gear rattle experimental set-up. A wide array of nonlinear behavior is demonstrated through presentation of periodic and chaotic responses in the forms of phase plots, Poincaré maps, and bifurcation diagrams. The severity of the resultant impacts on the noise outcome is also assessed through a rattle severity index defined by using the impact velocities.

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