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.

k ξ 0  = 4 ϕ 2 / ϕ 1  = 0.01 ξ 0  = 0.5 ϕ 2 / ϕ 1  = 0.5

 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