Napse

Napse (englanniksi snap, jounce tai quirk) tarkoittaa paikan neljättä aikaderivaattaa.^[1]

{\vec {s}}={\frac {d{\vec {j}}}{dt}}={\frac {d^{2}{\vec {a}}}{dt^{2}}}={\frac {d^{3}{\vec {v}}}{dt^{3}}}={\frac {d^{4}{\vec {r}}}{dt^{4}}}

missä

{\vec {s}}

: napse,

{\vec {j}}

: nykäys,

{\vec {a}}

: kiihtyvyys,

{\vec {v}}

: nopeus,

{\vec {r}}

: paikka,

t

: aika

Nykäyksen merkitys tunnistetaan yleisesti hissien, junien ja muiden julkisten kulkuneuvojen suunnittelussa, mutta napse on suhteellisen vähän tunnettu. Silläkin on merkitystä koneenosien suunnittelussa, esimerkiksi nokka-akseleissa ja muissa nokkamekanismeissa.^[2]^[3] Napse on käyttökelpoinen myös ihmisen luonnollista liikehtimistä mallinnettaessa.^[4]

Lähteet[muokkaa | muokkaa wikitekstiä]

↑ Lahdelma, Sulo: Vikojen tunnuslukutaulukko (PDF) (Mittaussuureiden selitykset taulukon alarivillä keskimmäisessä solussa) lahdelma.wordpress.com. 2008. Oulu: Lahdelma, Sulo. Viitattu 30.8.2019.
↑ Young, Larry: Camshaft Lobe Design ("The derivative of the acceleration is called jerk. The derivative of jerk has several different names, we prefer snap. We can keep going and define crackle and pop as well. These higher derivatives become increasingly esoteric.") www.tildentechnologies.com. 18.7.2011. Tulsa, Oklahoma: Tilden Technologies. Viitattu 2.10.2014. (englanniksi)
↑ Williams, J. J.: ”1.2 The Cam Lift Curve”, Introduction to Analytical Methods for Internal Combustion Engine Cam Mechanisms, s. 4. London, UK: Springer-Verlag, 2013. DOI: 10.1007/978-1-4471-4564-6_1. ISBN 978-1-4471-4563-9. (englanniksi) Lainaus: "The second derivative of acceleration is sometimes called the quirk, but there would seem to be no generally accepted term for this. The jerk is generally accepted as being related to valve spring surge and there is limited experimental evidence to indicate that a smoother quirk also helps reduce spring surge, especially for push-rod mechanisms which are usually more flexible and more prone to unstable behaviour."
↑ Ki Tak Ahn & Jung San Cho & Wan Kyun Chung: Discrete trajectory formation in comparison with the analytical method for smooth movements. ("There are more minute concepts, an official term for the first time derivative of jerk is “snap”. The second and third time derivatives of jerk (i.e. the 5 and 6 derivatives of position) would naturally be referred to as “crackle” and “pop”. Snap, crackle and pop are less easy concept to have a physical feelings.") IEEE Industrial Electronics, IECON 2006 - 32nd Annual Conference on 6-10 Nov. 2006, 17.9.2006, s. 4462–4467. Paris: IEEE. doi:10.1109/IECON.2006.347798. ISSN 1553-572X. (englanniksi)

[lahdelma-1] Lahdelma, Sulo: Vikojen tunnuslukutaulukko (PDF) (Mittaussuureiden selitykset taulukon alarivillä keskimmäisessä solussa) lahdelma.wordpress.com. 2008. Oulu: Lahdelma, Sulo. Viitattu 30.8.2019.

[young-2] Young, Larry: Camshaft Lobe Design ("The derivative of the acceleration is called jerk. The derivative of jerk has several different names, we prefer snap. We can keep going and define crackle and pop as well. These higher derivatives become increasingly esoteric.") www.tildentechnologies.com. 18.7.2011. Tulsa, Oklahoma: Tilden Technologies. Viitattu 2.10.2014. (englanniksi)

[williams-3] Williams, J. J.: ”1.2 The Cam Lift Curve”, Introduction to Analytical Methods for Internal Combustion Engine Cam Mechanisms, s. 4. London, UK: Springer-Verlag, 2013. DOI: 10.1007/978-1-4471-4564-6_1. ISBN 978-1-4471-4563-9. (englanniksi) Lainaus: "The second derivative of acceleration is sometimes called the quirk, but there would seem to be no generally accepted term for this. The jerk is generally accepted as being related to valve spring surge and there is limited experimental evidence to indicate that a smoother quirk also helps reduce spring surge, especially for push-rod mechanisms which are usually more flexible and more prone to unstable behaviour."

[ahn-4] Ki Tak Ahn & Jung San Cho & Wan Kyun Chung: Discrete trajectory formation in comparison with the analytical method for smooth movements. ("There are more minute concepts, an official term for the first time derivative of jerk is “snap”. The second and third time derivatives of jerk (i.e. the 5 and 6 derivatives of position) would naturally be referred to as “crackle” and “pop”. Snap, crackle and pop are less easy concept to have a physical feelings.") IEEE Industrial Electronics, IECON 2006 - 32nd Annual Conference on 6-10 Nov. 2006, 17.9.2006, s. 4462–4467. Paris: IEEE. doi:10.1109/IECON.2006.347798. ISSN 1553-572X. (englanniksi)

[1]

[2]

[3]

[4]

Napse

Lähteet[muokkaa | muokkaa wikitekstiä]

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