Table 1: Values of lower and upper pull-in parameters estimated by using the proposed theoretical approach for a rigidly clamped nanocantilever, for various values of the parameters aW, aC ionic concentration ξ0 and voltage ratio ϕ2/ϕ1.
aW |
aC |
rl |
bl |
ru |
bu |
rl |
bl |
ru |
bu |
0.0 |
0.0 |
0.132937 |
1223.06 |
0.136956 |
1250.1 |
0.349314 |
4.73619 |
0.358105 |
4.83197 |
0.0 |
0.2 |
0.156973 |
904.533 |
0.160884 |
929.46 |
0.323497 |
3.68087 |
0.331686 |
3.77248 |
0.0 |
0.4 |
0.183189 |
618.308 |
0.186965 |
640.929 |
0.304472 |
2.65364 |
0.312256 |
2.74188 |
0.0 |
0.6 |
0.212222 |
362.48 |
0.215809 |
382.723 |
0.2899323 |
1.64575 |
0.296794 |
1.73112 |
0.0 |
0.8 |
0.244988 |
135.411 |
0.248281 |
153.267 |
0.276722 |
0.652309 |
0.283933 |
0.735147 |
0.0 |
1.0 |
0.281812 |
-64.3341 |
0.285606 |
-48.861 |
0.265938 |
-0.329792 |
0.272924 |
-0.24924 |
0.0 |
0.0 |
0.132937 |
1223.06 |
0.136956 |
1250.1 |
0.349314 |
4.73619 |
0.358105 |
4.83197 |
0.2 |
0.0 |
0.158559 |
937.581 |
0.162452 |
962.217 |
0.346282 |
3.94379 |
0.354808 |
4.03691 |
0.4 |
0.0 |
0.186223 |
688.201 |
0.189972 |
710.256 |
0.343569 |
3.1518 |
0.35185 |
3.24234 |
0.6 |
0.0 |
0.216535 |
471.907 |
0.220097 |
491.364 |
0.341123 |
2.36015 |
0.349176 |
2.44817 |
0.8 |
0.0 |
0.250405 |
286.137 |
0.253697 |
303.064 |
0.338902 |
1.56881 |
0.346741 |
1.65437 |
1.0 |
0.0 |
0.28931 |
128.749 |
0.29216 |
143.24 |
0.336875 |
0.777725 |
0.344511 |
0.860875 |