Article | REF: BM2589 V1

4-Cylinder Engine and Multi-Cyclinder Engines Torque Fluctuation

Authors: Elian BARON, Jean-Louis LIGIER

Publication date: May 10, 2019

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ABSTRACT

For multicylinder engines, speed fluctuations analysis is formulated from monocylinder speed fluctuation analysis, taking into account the number of cylinders and time period between cylinder firings. These last two parameters are related to cylinder location, crankshaft pattern and the firing order. These notions are first explained in general terms, then in more details using the example of four-cylinder in-line engine. Forces, torques and moments due to gaz pressure and due to inertia effects are explained, providing to readers ready to use formula. Temporal or angular analysis of the instantaneous torque is completed by harmonic analysis, this approach being more suitable to study noises and vibrations caused by speed fluctuations.

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AUTHORS

  • Elian BARON: Doctoral engineer - Powertrain Expert - Renault Automobiles, Guyancourt, France

  • Jean-Louis LIGIER: Doctoral engineer - Professor of Mechanics - Vaud School of Business and Engineering (HEIG-VD) - Yverdon, Switzerland

 INTRODUCTION

In today's engine specifications, noise and vibration are just as important as performance and fuel consumption. This is why the study of variations in the instantaneous torque delivered by the engine under different operating conditions ("acyclism") is fundamental, not only to quantify the phenomenon, but also to find the most effective palliative solutions.

A detailed analysis of the single-cylinder engine was given in the previous article [BM 2 588] . By definition, a multi-cylinder engine is a more or less complex combination of single-cylinder engines. The acyclism of a multi-cylinder engine is therefore defined on the basis of the acyclism of the single-cylinder engine. To do this, we need to take rigorous account of the parameters that enable us to switch from one to the other, in particular the number of cylinders and the time intervals between ignitions. But there's more to it than that, as the latter depend on other factors such as cylinder layout, crankshaft shape and ignition sequence.

Acyclism is dealt with here in a general way for the multi-cylinder engine, using a rigorous approach to arrive at robust formulas useful for determining orders of magnitude essential for the design or test engineer. Emphasis is then placed on the in-line 4-cylinder engine, still the most widely used in the automotive world. All aspects relating to the phenomenon of acyclism applied to multi-cylinder engines in general, and to four-cylinder engines in particular, are formulated in a precise and progressive manner.

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KEYWORDS

crankshaft   |   instantaneous angular speed variations   |   dynamic analysis of engine   |   multi-cylinder engine


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