SIZE EFFECT ON THE SNAP-THROUGH AND PULL-IN INSTABILITY OF THE ELECTROSTATICALLY ACTUATED MICRO SHALLOW ARCH
The snap-through and pull-in instability of the electrostatically actuated micro shallow arches incorporating Casimir force was investigated based on the modified couple stress theory. The nonlinear governing equation and boundary conditions were derived by using the principle of minimum total poten...
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| Format: | Article |
| Language: | zho |
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Editorial Office of Journal of Mechanical Strength
2019-01-01
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| Series: | Jixie qiangdu |
| Subjects: | |
| Online Access: | http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2019.04.018 |
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| _version_ | 1841535682275704832 |
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| author | YUAN YanQi KONG ShengLi LU Fei |
| author_facet | YUAN YanQi KONG ShengLi LU Fei |
| author_sort | YUAN YanQi |
| collection | DOAJ |
| description | The snap-through and pull-in instability of the electrostatically actuated micro shallow arches incorporating Casimir force was investigated based on the modified couple stress theory. The nonlinear governing equation and boundary conditions were derived by using the principle of minimum total potential energy. The snap-through voltages, the pull-in voltages, the non-dimensional snap-through displacements and the non-dimensional pull-in displacements of the electrostatically actuated micro shallow arches were calculated by applying the generalized differential quadrature method（GDQM） and the generalized integral quadrature method（GIQM）. The results show that the snap-through and the pull-in instability of the electrostatically actuated micro shallow arches are size-dependent. The snap-through and pull-in voltages of the electrostatically actuated micro shallow arches based on the modified couple stress theory are smaller than the classical results. The Casimir force can reduce the snap-through voltages, the pull-in voltages, the non-dimensional snap-through and the pull-in displacements of the micro shallow arches. The initial rise of the micro shallow arches affects the snap-through and pull-in instability. |
| format | Article |
| id | doaj-art-2b63982cb1b54dd79a6b8d9a87d1a955 |
| institution | Kabale University |
| issn | 1001-9669 |
| language | zho |
| publishDate | 2019-01-01 |
| publisher | Editorial Office of Journal of Mechanical Strength |
| record_format | Article |
| series | Jixie qiangdu |
| spelling | doaj-art-2b63982cb1b54dd79a6b8d9a87d1a9552025-01-15T02:29:40ZzhoEditorial Office of Journal of Mechanical StrengthJixie qiangdu1001-96692019-01-014187688030605485SIZE EFFECT ON THE SNAP-THROUGH AND PULL-IN INSTABILITY OF THE ELECTROSTATICALLY ACTUATED MICRO SHALLOW ARCHYUAN YanQiKONG ShengLiLU FeiThe snap-through and pull-in instability of the electrostatically actuated micro shallow arches incorporating Casimir force was investigated based on the modified couple stress theory. The nonlinear governing equation and boundary conditions were derived by using the principle of minimum total potential energy. The snap-through voltages, the pull-in voltages, the non-dimensional snap-through displacements and the non-dimensional pull-in displacements of the electrostatically actuated micro shallow arches were calculated by applying the generalized differential quadrature method（GDQM） and the generalized integral quadrature method（GIQM）. The results show that the snap-through and the pull-in instability of the electrostatically actuated micro shallow arches are size-dependent. The snap-through and pull-in voltages of the electrostatically actuated micro shallow arches based on the modified couple stress theory are smaller than the classical results. The Casimir force can reduce the snap-through voltages, the pull-in voltages, the non-dimensional snap-through and the pull-in displacements of the micro shallow arches. The initial rise of the micro shallow arches affects the snap-through and pull-in instability.http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2019.04.018The modified couple stress theorySnap-throughPull-inSize effectCasimir force |
| spellingShingle | YUAN YanQi KONG ShengLi LU Fei SIZE EFFECT ON THE SNAP-THROUGH AND PULL-IN INSTABILITY OF THE ELECTROSTATICALLY ACTUATED MICRO SHALLOW ARCH Jixie qiangdu The modified couple stress theory Snap-through Pull-in Size effect Casimir force |
| title | SIZE EFFECT ON THE SNAP-THROUGH AND PULL-IN INSTABILITY OF THE ELECTROSTATICALLY ACTUATED MICRO SHALLOW ARCH |
| title_full | SIZE EFFECT ON THE SNAP-THROUGH AND PULL-IN INSTABILITY OF THE ELECTROSTATICALLY ACTUATED MICRO SHALLOW ARCH |
| title_fullStr | SIZE EFFECT ON THE SNAP-THROUGH AND PULL-IN INSTABILITY OF THE ELECTROSTATICALLY ACTUATED MICRO SHALLOW ARCH |
| title_full_unstemmed | SIZE EFFECT ON THE SNAP-THROUGH AND PULL-IN INSTABILITY OF THE ELECTROSTATICALLY ACTUATED MICRO SHALLOW ARCH |
| title_short | SIZE EFFECT ON THE SNAP-THROUGH AND PULL-IN INSTABILITY OF THE ELECTROSTATICALLY ACTUATED MICRO SHALLOW ARCH |
| title_sort | size effect on the snap through and pull in instability of the electrostatically actuated micro shallow arch |
| topic | The modified couple stress theory Snap-through Pull-in Size effect Casimir force |
| url | http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2019.04.018 |
| work_keys_str_mv | AT yuanyanqi sizeeffectonthesnapthroughandpullininstabilityoftheelectrostaticallyactuatedmicroshallowarch AT kongshengli sizeeffectonthesnapthroughandpullininstabilityoftheelectrostaticallyactuatedmicroshallowarch AT lufei sizeeffectonthesnapthroughandpullininstabilityoftheelectrostaticallyactuatedmicroshallowarch |