Formulas for the impulse response of a digital filter with an arbitrary piecewise-linear frequency response

1995 ◽  
Vol 43 (1) ◽  
pp. 308-310 ◽  
Author(s):  
M.V. Chan ◽  
J.A. Heinen ◽  
R.J. Niederjohn
Keyword(s):  
Frequency Response ◽  
Impulse Response ◽  
Digital Filter ◽  
Piecewise Linear ◽  
Linear Frequency

Frequency Response Analysis of Damped Dual Mass Flywheel

2015 ◽  
Vol 724 ◽  
pp. 271-274 ◽  
Author(s):  
Rong Zeng ◽  
Zheng Feng Jiang ◽  
Xing Wan
Keyword(s):  
Frequency Response ◽  
Piecewise Linear ◽  
Vibration Damping ◽  
Torsional Stiffness ◽  
Response Analysis ◽  
Frequency Response Analysis ◽  
Power Train ◽  
Detail Design ◽  
Stiffness And Damping ◽  
Sinusoidal Excitation

s:Aiming at circumferential arc spring dual mass flywheel (CSDMF), this paper carries out analysis on the piecewise linear model and calculates the frequency response of damped model under sinusoidal excitation. Being combined with the calculate results, the research respectively analyzes the value of inertia ratio, torsional stiffness and damping parameters. The analysis results show that the greater the damping, inertia ratio of primary and secondary flywheels are, the torsional stiffness, the more obvious vibration damping of the dual mass flywheel would be. To meet the vibration damping requirements, the detail design of the three parameters need to be combined with power train and the torsion characteristic of CSDMF.

scholarly journals Optimization of two-stage NLFM signal using Heuristic approach

2020 ◽  
Vol 13 (44) ◽  
pp. 4465-4473
Author(s):  
Chandu Kavitha ◽  
Keyword(s):  
Optimization Algorithm ◽  
Frequency Modulation ◽  
Pulse Compression ◽  
Piecewise Linear ◽  
Side Lobe ◽  
Linear Frequency Modulation ◽  
Main Lobe ◽  
Design And Optimization ◽  
Linear Frequency ◽  
Scripting Language

Background/Objectives: The design of appropriate Non-Linear Frequency Modulation (NLFM) signals continues to be the focus of research in radar pulse compression theory for sidelobe reduction. This study focuses on a heuristic design and optimization algorithm to optimize the side lobe values of the NLFM signal designed using two-piece wise linear frequency modulation (LFM) functions. Methods: 1) Heuristic search identifies the optimum B1, T1, and B2, T2, which yield the lowest sidelobe value of the designed function.2) Compute all the side lobe values of the designed NLFM signal using an algorithm developed in Python scripting language. To plot a complete contour map for all the calculated side lobe values, which helps identify the associated variations in the range of side lobe values. Finally, optimize the side lobe values keeping the main lobe width and time-bandwidth (BT) product unchanged by designing a dynamic optimization algorithm. Findings: The algorithm developed considered all side lobe levels after the main lobe for optimization. The focus is mainly on the peak sidelobe ratio (PSLR) value without affecting the other parameters. The results demonstrate that the achieved side lobes exhibit their desired levels. Novelty: The method is useful in all types of hardware associated with weather radar applications to military solutions. The technique can be extended to other multistage signals consisting of piecewise linear Segments. Keywords: Contour; LFM; NLFM; optimization; PSLR

Experimental and numerical investigation of damping in a hybrid automotive damper combining viscous and multiple-impact mechanisms

2021 ◽  
pp. 107754632110381
Author(s):  
Yousif Badri ◽  
Sadok Sassi ◽  
Mohammed Hussein ◽  
Jamil Renno
Keyword(s):  
Viscous Fluid ◽  
Frequency Response ◽  
Piecewise Linear ◽  
Material Model ◽  
Element Model ◽  
Fe Model ◽  
Combination Process ◽  
Hybrid Damper ◽  
Multiple Impact ◽  
Steel Balls

One of the least investigated approaches in passive vibration control is the possibility of combining different types of dampers that use different damping principles. Such a combination process, if wisely designed and implemented, has the potential to increase the damping performance and extend the damper’s application. The primary purpose of this work is to experimentally and numerically investigate the damping behavior of a novel Fluid-Impact Hybrid Damper. This damper combines a conventional Viscous Fluid Damper with a Particle-Impact Damper. The Fluid-Impact Hybrid Damper comprises a 3D-printed plastic box attached to the Viscous Fluid Damper’s moving rod and filled with stainless steel balls. An experimental setup was designed to drive the Viscous Fluid Damper’s rod into harmonic oscillations at different frequencies (1, 2, 4, 6, and 8 Hz). The number of balls was changed three times (5, 10, and 15) to assess the effect of this parameter on the damping performance of the Fluid-Impact Hybrid Damper. A finite element model of the Fluid-Impact Hybrid Damper was developed using LS-Dyna explicit simulation program. The objective of the FE model is to investigate the elastoplastic balls-box collisions using a piecewise-linear plasticity material model. For both the experimental and numerical results, the Frequency Response Function was considered as the main comparison component for a set of force-independent results. The measured Frequency Response Functions showed a noticeable reduction in amplitude at the system’s natural frequency (2 Hz), with an acceptable accuracy between the two approaches.

Frequency Response of Vibration Isolators With Saturating Spring Elements

2005 ◽  
Author(s):  
M. Mahinfalah ◽  
G. Nakhaie Jazar ◽  
M. Rastgaar Aagaah ◽  
N. Mahmoudian
Keyword(s):  
Sensitivity Analysis ◽  
Frequency Response ◽  
Linear Approximation ◽  
Averaging Method ◽  
Piecewise Linear ◽  
Nonlinear Approximation ◽  
Piecewise Linear Approximation ◽  
Hyperbolic Tangent ◽  
Vibration Isolators ◽  
Tangent Function

An investigation using averaging method is carried out to obtain the frequency response of a class of vibration isolators with saturation spring. The saturation characteristics are modeled using a hyperbolic-tangent function. The hyperbolic-tangent saturation function is compared with other popular saturation functions, using piecewise nonlinear approximation. A parameteric study indicates that piecewise linear approximation of saturating functions provide results that are close enough to the results of hyperbolic tangent approximation. A sensitivity analysis of frequency response of the system is also investigated based on the piecewise linear approximation.

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