%0 Journal Article %1 citeulike:13986923 %A Timoshenko, S. %D 1925 %J Journal of the Optical Society of America %K 74f05-solid-mechanics-thermal-effects %N 3 %P 233--255 %R 10.1364/josa.11.000233 %T Analysis of Bi-Metal Thermostats %U http://dx.doi.org/10.1364/josa.11.000233 %V 11 %X The following investigation contains a general theory of bending of a bi-metal strip submitted to a uniform heating. This theory is applied in analysis of operation of a bi-metal strip thermostat. The equations are obtained for calculating the temperature of buckling, the complete travel during buckling, and the temperature of buckling in a backward direction. By using these equations the dimensions of the thermostat for a given temperature of operation and a given complete range of temperature can be calculated. the results obtained are based on certain ideal conditions. For example, it was assumed that the difference in the coefficients of expansion remained constant during heating, that the friction at the supports could be neglected and that the width of the strip could be considered as being very small. It is the opinion that these assumptions are not far removed from real conditions and the results obtained by using this theory can be considered as a useful guide in choosing the dimensions of thermostats and in discussing the stresses occurring in bi-metallic strips during operation.

@article{citeulike:13986923, abstract = {{The following investigation contains a general theory of bending of a bi-metal strip submitted to a uniform heating. This theory is applied in analysis of operation of a bi-metal strip thermostat. The equations are obtained for calculating the temperature of buckling, the complete travel during buckling, and the temperature of buckling in a backward direction. By using these equations the dimensions of the thermostat for a given temperature of operation and a given complete range of temperature can be calculated. the results obtained are based on certain ideal conditions. For example, it was assumed that the difference in the coefficients of expansion remained constant during heating, that the friction at the supports could be neglected and that the width of the strip could be considered as being very small. It is the opinion that these assumptions are not far removed from real conditions and the results obtained by using this theory can be considered as a useful guide in choosing the dimensions of thermostats and in discussing the stresses occurring in bi-metallic strips during operation.}}, added-at = {2017-06-29T07:13:07.000+0200}, author = {Timoshenko, S.}, biburl = {https://www.bibsonomy.org/bibtex/2249aeb009d5c9cbff194bdf21fb15fb6/gdmcbain}, citeulike-article-id = {13986923}, citeulike-attachment-1 = {timoshenko_25_analysis_1060320.pdf; /pdf/user/gdmcbain/article/13986923/1060320/timoshenko_25_analysis_1060320.pdf; 2dcf7fc0f810098a1c5273b38f0dae1d232e423f}, citeulike-linkout-0 = {http://dx.doi.org/10.1364/josa.11.000233}, comment = {(private-note)cited by 6-4-25-1-1 (Mallinson \& Reichl 2005)}, day = 01, doi = {10.1364/josa.11.000233}, file = {timoshenko_25_analysis_1060320.pdf}, interhash = {71bbcaa361b72874ef475fd43bd4c92b}, intrahash = {249aeb009d5c9cbff194bdf21fb15fb6}, issn = {0030-3941}, journal = {Journal of the Optical Society of America}, keywords = {74f05-solid-mechanics-thermal-effects}, month = sep, number = 3, pages = {233--255}, posted-at = {2016-03-23 22:42:53}, priority = {2}, timestamp = {2017-06-29T07:13:07.000+0200}, title = {{Analysis of Bi-Metal Thermostats}}, url = {http://dx.doi.org/10.1364/josa.11.000233}, volume = 11, year = 1925 }