Sooner or later, any fixture, frame, block of the engine that has its nature/resonant frequency covered by the delta-function will be exuberantly vibrated (also known as resonant) to loose, especially those parts that is located close to the timing chain.

What will this mean to an engine? Whenever the engine is running, the timing chain will tirelessly stimulate the engine block through the sprockets bearings with delta-function force that cover full-frequency-range. The net effect is that a delta-function mounting on top of another delta-function. Hence, the driving force of the crankshaft itself is also a delta function. When a car is equipped with the timing chain, another source of jerking force will further enhance the delta-function effect: The internal combustion engine by itself is not a continuous force source, which is obvious. Off track long enough, let’s go back to the timing chain issue. If the other way is true (that the knock of the hammer does not cover full-range-spectrum of frequency, rather, one specific hammer will only offer knocking force of a specific frequency), then using the same hammer to knock several different bells, there shall be only 1 or 2 bell that is/are ringing, all the other bells will be dumb after being hit by this same hammer which is of course not the case. That is why the dozen of different size bells hanging up in the chapel’s tower, each gets hits by a hammer in the same way, yet, they generate sounds of pitches different from each other's. The hammer’s “delta function style” force stimulates the full range of frequency, but since the bell was designed to have a very special and narrow resonant frequency (also called the nature frequency, characteristic frequency), only this specific frequency get resonant (kind of amplified) and emit the corresponding sound, the other part/frequency-range of stimulus force just get damped out.

Rather, the pitch of the sound is exclusively decided by the character of the bell itself. And for the same reason, there is no way that the generated sound frequency of the knocked bell could ever be some how controlled/instilled by the hammer’s action (the hammer just does not “have time” to do the instillation). Because this “very short time interval” of acting duration, this kind of stimulus matches very well to the “delta function” definition.

No matter what sound a specific bell will generate, the sound is generated by a hammer hitting/knocking the bell in a “very short time interval”. Most people have at least once heard the bell ringing in a church or chapel, but few would realize that it is a very good example of the “delta-function stimulus” system. To put it in a simple way, a short pulse of electrical driving voltage and a quick hit/knock of mechanical force are both qualified as “delta function stimulus inputs”. A college boy/girl of the electrical engineering school more likely need to deal with the delta function in circuit classes during the last 3 years of his/her school days. Delta function is very special: It is the only kind of stimulus that can stimulate the full-range-spectrum of frequency of the system which is being excited by it. Mathematically, this kind of stimulus (driving force) is modeled as the well-known 'delta function'.

The peak force periodically appears but exists only for a very short time interval as the driving shaft is asserting force to the cam-shaft. It works in a rhythm of 'tight-slack-tight-slack-tight-slack.' with the peak force existing somewhere during each of the tight-slack cycle. The slackness (or tightness) of the forcing side of the chain changes periodically as each single segment of the chain is rotating by. Comparing to the (rigid, stiff) chain, the (soft, flexible) timing belt has 1 very important but relatively hard to explain attribute which makes it much better than the chain in doing the timing job.ĭuring normal operation, the timing chain's movement itself is actually not a smoothly continuous action this is owing to the fact that the chain is composed of a lot of 'segments' that are connected together, rather than being a single piece of pulling media like the belt or cable.

Timing belts honda civic