J4 ›› 2011, Vol. 8 ›› Issue (4): 395-405.doi: 10.1016/S1672-6529(11)60045-0

• 论文 • 上一篇    下一篇

Mechanisms Modeling the Double Rotation of the Elytra in Beetles (Coleoptera)

Leonid Frantsevich   

  1. Schmalhausen-Institute of Zoology, B. Chmielnicki str. 15, Kiev-30, 01601, Ukraine
  • 出版日期:2011-12-30
  • 通讯作者: Leonid Frantsevich E-mail:leopup@izan.kiev.ua

Leonid Frantsevich   

  1. Schmalhausen-Institute of Zoology, B. Chmielnicki str. 15, Kiev-30, 01601, Ukraine
  • Online:2011-12-30
  • Contact: Leonid Frantsevich E-mail:leopup@izan.kiev.ua

摘要:

We recorded transient movements, i.e. opening and closing, of beetle elytra. The beetles were tethered from below and filmed under a skew mirror; two markers were glued on each elytron at the apex and at the base. Body-fixed 3D traces of the apical and basal markers were reconstructed. The trace of the basal marker was, as a rule, non-parallel to the apical trace. The costal edge of the elytron uniformly supinated in the course of adduction of the apical marker. We found two essential attributes of double rotation: (1) the elytron to body articulation is approximately a spherical mechanism; (2) transient opening and closing possess single degree of freedom. The double rotation was modeled with two mechanisms: (1) a flexagon model of the Haas and Wootton’s type simulated the elytral movement relative to the movement of one facet of the flexagon; (2) a screw and nut model provided traces as two sectors of a helical thread, one sector was phase shifted with respect to other one. Screw guideways in a spherical mechanism give rise to discrepancies. Exact solution for a spherical mechanism with two guideways was proposed. The modeling revealed the attribute (3): the elytron is actuated by two linked but differently directed drives. Experimental investigations on the elytron to body articulation may be oriented at search of those mechanisms.

关键词: insect flight, insect thorax, flexagon, screw and nut joint

Abstract:

We recorded transient movements, i.e. opening and closing, of beetle elytra. The beetles were tethered from below and filmed under a skew mirror; two markers were glued on each elytron at the apex and at the base. Body-fixed 3D traces of the apical and basal markers were reconstructed. The trace of the basal marker was, as a rule, non-parallel to the apical trace. The costal edge of the elytron uniformly supinated in the course of adduction of the apical marker. We found two essential attributes of double rotation: (1) the elytron to body articulation is approximately a spherical mechanism; (2) transient opening and closing possess single degree of freedom. The double rotation was modeled with two mechanisms: (1) a flexagon model of the Haas and Wootton’s type simulated the elytral movement relative to the movement of one facet of the flexagon; (2) a screw and nut model provided traces as two sectors of a helical thread, one sector was phase shifted with respect to other one. Screw guideways in a spherical mechanism give rise to discrepancies. Exact solution for a spherical mechanism with two guideways was proposed. The modeling revealed the attribute (3): the elytron is actuated by two linked but differently directed drives. Experimental investigations on the elytron to body articulation may be oriented at search of those mechanisms.

Key words: insect flight, insect thorax, flexagon, screw and nut joint