The moment of inertia of bird wings and the inertial power requirement for flapping flight

1995 ◽  
Vol 198 (8) ◽  
pp. 1655-1664 ◽  
Author(s):  
C Berg ◽  
J Rayner

The agility and manoeuvrability of a flying animal and the inertial power required to flap the wings are related to the moment of inertia of the wings. The moments of inertia of the wings of 29 bird species and three bat species were determined using wing strip analysis. We also measured wing length, wing span, wing area, wing mass and body mass. A strong correlation (r2=0.997) was found between the moment of inertia and the product of wing mass and the square of wing length. Using this relationship, it was found that all birds that use their wings for underwater flight had a higher than average moment of inertia. Assuming sinusoidal wing movement, the inertial power requirement was found to be proportional to (body mass)0.799, an exponent close to literature values for both metabolic power output and minimum power required for flight. Ignoring wing retraction, a fairly approximate estimate showed that the inertial power required is 11­15 % of the minimum flight power. If the kinetic energy of the wings is partly converted into aerodynamic (useful) work at stroke reversal, the power loss due to inertial effects may be smaller.

1991 ◽  
Vol 158 (1) ◽  
pp. 19-35 ◽  
Author(s):  
MIKAEL THOLLESSON ◽  
ULLA M. NORBERG

The moments of inertia of the wings about the shoulder joint and about the roll axis were estimated in eight species of bats, using strip analysis. The moment of inertia of the bat's trunk about the roll axis was estimated by assuming the body and head to be ellipsoids. The slopes of the regressions of moment of inertia of one wing about the shoulder joint (Jw) versus body mass (mtot), wing span (b) and wing area (S) were as expected for geometrically similar animals of different size. The exponent for Jwversus body mass in bats deviates from that found for birds, while the exponent for Jw versus wing span does not. A multiple regression was used to show that Jw may be estimated by: J w = 4.49 × 10−3mtot0.53b2.15S0.65. The mean value of the moment of inertia originating from the trunk is 7 % of the bat's total moment of inertia (of wings and body combined) about the roll axis. The mass of one wing (mw) was plotted against body mass for the eight bat species, which gives: m w = 0.112mtot1 11. The slope for our bats, 1.11, is similar to that obtained for birds, 1.10. Adaptations to reduce the moments of inertia may be more important for increasing a bat's flight agility (roll acceleration) than for decreasing the total mechanical power required to fly. The influences of wing moment of inertia and wing shape on manoeuvrability and agility are discussed.


1994 ◽  
Vol 191 (1) ◽  
pp. 125-139 ◽  
Author(s):  
R Dudley ◽  
R Srygley

Airspeed measurements during natural free flight were made on a total of 270 neotropical butterflies representing 62 species. Morphological data were obtained from the same individuals for which airspeeds had been determined. Flight speed was positively correlated with body mass, thoracic mass and wing loading. Controlling for body mass, higher wing loadings were correlated with increased flight speed. Flight speed and wing aspect ratio were negatively correlated. No consistent correlations were found between airspeed and wing length, wing area or body length. Released butterflies and butterflies encountered in natural free flight did not differ substantially in flight speed allometry. The observed scaling of flight speeds was similar to that derived for a much smaller sample of butterflies flying in an insectary, although absolute values of flight speed were approximately three times higher in natural flight and correlation coefficients of allometric regressions were typically lower. These results suggest that butterfly airspeeds under natural conditions can reasonably be predicted from morphological measurements, and that studying flight in enclosed spaces preserves the allometry of flight speeds.


1982 ◽  
Author(s):  
Carol Zahner ◽  
M. Stephen Kaminaka

2018 ◽  
Vol 46 (1) ◽  
Author(s):  
Catarina Borges Cardoso ◽  
Sheila Canevese Rahal ◽  
Maria Jaqueline Mamprim ◽  
Hugo Salvador Oliveira ◽  
Alessandra Melchert ◽  
...  

Background: The avascular necrosis of the femoral head is a development disease caused by ischemic necrosis, which is mainly observed in young dogs. The etiology of the disease remains controversial. The diagnosis requires imaging exams such as MRI and radiographs. Thus, the aim of the current study was to retrospectively assess a population of dogs with avascular necrosis of the femoral head in order to feature the disease, as well as to analyze the radiographic appearance of the lesion at the moment of patient consultation.Materials, Methods & Results: The signalment factors of dogs (breed, gender, age and body mass), the affected hind limb, the radiographic appearance of the lesion, the clinical signs at the moment of patient consultation, the time of occurrence and the type of treatment were evaluated. The disease was radiographically classified according to the previously described items. Forty-three cases of avascular necrosis of the femoral head were identified, 97.67% presented lameness and pain during palpation of the hip joint; and 54.34%, were 1 week to 4 months old. Females represented 58.13% of the sample, and 65.11% of them weighed from 2.6 to 4.9 kg. Based on the radiographic classification, 4.34% were Grade 1; 32.60%, Grade 2; 8.69%, Grade 3; 19.56%, Grade 4; and 34.78%, Grade 5. The femoral head and neck ostectomy was performed in 42 hind limbs (91.30%); 42.85% of the dogs reached total functional recovery and 26.19% required physiotherapy and rehabilitation.Discussion: The present sample was composed of 25 dogs, which were 6-to-11-month old at the moment of patient consultation, but 17 dogs were 12-to-36-month old at this time; only one dog was older than 36 months. It may be associated with the non-recognition of clinical signs by the owners, rather than with the late-onset form of the disease. With respect to the breed, pinscher, Yorkshire, poodle, Lhasa apso, pug were most frequently observed. However, 7 dogs were crossbreed. Such group differed from that of a review involving 188 cases encompassing West Highland white terrier, Cairn terrier and poodle as the most commonly affected breeds. No sex predilection was found in a study comprising 188 cases, but in another study comprising 14 dogs, female predilection was observed. Likewise, the females represented 58.13% of cases in the present study; and 41.86% of the participants were male. The mean body mass of the dogs in the current study was 4.33 kg, which matches the small breed dogs, which are most affected by the disease. Clinical signs of non-weightbearing lameness or an intermittent subtle lameness are common in the avascular necrosis of the femoral head. Lameness of the affected hind limb was observed in 69.76% of the cases in the present study, but 2.32% showed no lameness. Occasionally, the avascular necrosis of the femoral head is bilaterally found in 12% to 16.5% of the cases. Only 3 out of the 43 cases assessed in the present study were bilateral. Since the lesions were more frequent in Grades 2 and 5, there is less chance of success through the conservative treatment. Thus, the femoral head and neck ostectomy was the surgical procedure performed in 42 hind limbs. The procedure is used to provide pain relief and to reduce the signs of lameness. In conclusion, the population assessed in the present study was composed of small size dogs, mean body mass 4.33 kg, no sex predilection, mostly presenting unilateral lesions and higher Grade 2 and Grade 5 radiographic lesion frequency.Keywords: radiographic, joint, canine, hip.


Author(s):  
Chuanwen Zhang ◽  
Guangxu Zhou ◽  
Ting Yang ◽  
Ningran Song ◽  
Xinli Wang ◽  
...  

1971 ◽  
Vol 34 (4) ◽  
pp. 255-256 ◽  
Author(s):  
S.A. Hjorth ◽  
J. Oppelstrup ◽  
G. Ehrling

1993 ◽  
Vol 21 (4) ◽  
pp. 355-366 ◽  
Author(s):  
David L. Wallach

The moment of inertia of a plane lamina about any axis not in this plane can be easily calculated if the moments of inertia about two mutually perpendicular axes in the plane are known. Then one can conclude that the moments of inertia of regular polygons and polyhedra have symmetry about a line or point, respectively, about their centres of mass. Furthermore, the moment of inertia about the apex of a right pyramid with a regular polygon base is dependent only on the angle the axis makes with the altitude. From this last statement, the calculation of the centre of mass moments of inertia of polyhedra becomes very easy.


2012 ◽  
Vol 253-255 ◽  
pp. 2102-2106 ◽  
Author(s):  
Xu Juan Yang ◽  
Zong Hua Wu ◽  
Zhao Jun Li ◽  
Gan Wei Cai

A torsional vibration model of the slewing mechanism of a hydraulic excavator is developed to predict its free vibration characteristics with consideration of many fundamental factors, such as the mesh stiffness of gear pairs, the coupling relationship of a two stage planetary gear trains and the variety of moment of inertia of the input end caused by the motion of work equipment. The natural frequencies are solved using the corresponding eigenvalue problem. Taking the moment of inertia of the input end for example to illustrate the relationship between the natural frequencies of the slewing mechanism and its parameters, based on the simulation results, just the first order frequency varies significantly with the moment of inertia of the input end of the slewing mechanism.


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