2008
DOI: 10.3844/ajeassp.2008.141.148
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Analytical Solution of Temperature Field in Hollow Cylinder under Time Dependent Boundary Condition Using Fourier series

Abstract: Abstract:The objective of this study is to derive an analytical solution of one dimensional heat conduction equation applied in a hollow cylinder, which is subjected to a periodic boundary condition at the outer surface while the inner surface is insulated. The material is assumed to be homogenous and isotropic with time-independent thermal properties. Because of the time-dependent term in the boundary condition, Duhamel's theorem is used to solve the problem for a periodic boundary condition. The periodic bou… Show more

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Cited by 10 publications
(7 citation statements)
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“…In this way, the power supply, power, and communication cables can be easily insulated. This improves the ability of robotic systems to work in a clean or aseptic environment (Antonescu & Petrescu, 1985;1989;Antonescu et al, 1985a;1985b;1986;1987;1988;1994;1997;2000a;2001;Atefi et al, 2008;Avaei et al, 2008;Aversa et al, 2017a;2016d;2016e;2016f;2016g;2016h;2016i;2016j;2016k;2016l;2016m;2016n;2016o;Azaga & Othman, 2008;Cao et al, 2013;Dong et al, 2013;El-Tous, 2008;Comanescu, 2010;Franklin, 1930;He et al, 2013;Jolgaf et al, 2008;Kannappan et al, 2008;Lee, 2013;Lin et al, 2013;Liu et al, 2013;Mirsayar et al, 2017;Ng et al, 2008;Padula, Perdereau & Pannirselvam, 2008;2013;Perumaal & Jawahar, 2013;Petrescu, 2011;…”
Section: Independent Journal Of Management and Production (Ijmandp)mentioning
confidence: 99%
“…In this way, the power supply, power, and communication cables can be easily insulated. This improves the ability of robotic systems to work in a clean or aseptic environment (Antonescu & Petrescu, 1985;1989;Antonescu et al, 1985a;1985b;1986;1987;1988;1994;1997;2000a;2001;Atefi et al, 2008;Avaei et al, 2008;Aversa et al, 2017a;2016d;2016e;2016f;2016g;2016h;2016i;2016j;2016k;2016l;2016m;2016n;2016o;Azaga & Othman, 2008;Cao et al, 2013;Dong et al, 2013;El-Tous, 2008;Comanescu, 2010;Franklin, 1930;He et al, 2013;Jolgaf et al, 2008;Kannappan et al, 2008;Lee, 2013;Lin et al, 2013;Liu et al, 2013;Mirsayar et al, 2017;Ng et al, 2008;Padula, Perdereau & Pannirselvam, 2008;2013;Perumaal & Jawahar, 2013;Petrescu, 2011;…”
Section: Independent Journal Of Management and Production (Ijmandp)mentioning
confidence: 99%
“…This results in a "forced" drive balancing from the transmission, which makes the operation of the assembly to be correct but rigid and with mechanical shocks. Such balancing is not possible when the actuators directly actuate the elements of the kinematic chain without using mechanical reducers PETRESCU, 1985;1989;ANTONESCU et al, 1985a;1985b;1986;1987;1988;1994;1997;2001;ATEFI et al, 2008;Avaei et al, 2008;AVERSA et al, 2017a;2016d;2016e;2016f;2016g;2016h;2016i;2016j;2016k;2016l;2016m;2016n;2016o;AZAGA;OTHMAN, 2008;CAO et al, 2013;DONG et al, 2013;EL-TOUS, 2008;COMANESCU, 2010;FRANKLIN, 1930;HE et al, 2013;JOLGAF et al, 2008;KANNAPPAN et al, 2008;LEE, 2013;LIN et al, 2013;LIU et al, 2013;MIRSAYAR et al, 2017;NG et al, 2008;PADULA;PERDEREAU;PANNIRSELVAM, 2008;2013;…”
Section: Independent Journal Of Management and Production (Ijmandp)mentioning
confidence: 99%
“…This results in a "forced" drive balancing from the transmission, which makes the operation of the assembly to be correct but rigid and with mechanical shocks. Such balancing is not possible when the actuators directly actuate the elements of the kinematic chain without using mechanical reducers (ANTONESCU; PETRESCU, 1985;1989;ANTONESCU et al, 1985a;1985b;1986;1987;1988;1994;1997;2000a;2000b;2001;ATEFI et al, 2008;Avaei et al, 2008;AVERSA et al, 2017a;2016d;2016e;2016f;2016g;2016h;2016i;2016j;2016k;2016l;2016m;2016n;2016o;AZAGA;OTHMAN, 2008;CAO et al, 2013;DONG et al, 2013;EL-TOUS, 2008;COMANESCU, 2010;FRANKLIN, 1930;HE et al, 2013;JOLGAF et al, 2008;KANNAPPAN et al, 2008;LEE, 2013;LIN et al, 2013;LIU et al, 2013;MIRSAYAR et al, 2017;NG et al, 2008;PADULA;PERDEREAU;PANNIRSELVAM, 2008;…”
Section: Independent Journal Of Management and Production (Ijmandp)mentioning
confidence: 99%