Analysis of impact damage of Fritillaria ussuriensis Maxim using a free drop experimental study

ABSTRACT The impact damage is the most destructive effect on FUM during the drum screening. To explore the impact damage of FUM during drum screening, a free-drop test device was built to simulate the impact damage of FUM. Adopting an L16(45) orthogonal experiment scheme, we investigated the effect of mass, dropping height, collision material, and number of collisions on the bruise depth and specific surface area of bruise, impact peak force, and Ratio of amplitude attenuation. Then, we analyzed the influence of these four factors using a single factor test for each factor. Orthogonal experiments identified the main and secondary factors affecting each outcome; the number of collisions had no significant influence on the impact peak force, while the collision material was the only factor with a significant influence on the Ratio of amplitude attenuation. Single-factor test results indicate that the bruising depth and maximum impact force increase with FUM mass, and the specific surface area of the bruise first increases and then reduces. The maximum impact force and the bruising depth increase with dropping height, and the specific surface area of the bruise periodically changes. The bruising depth and damage surface area of FUM increased with an increased hardness of the collision material, and the maximum impact force and ratio of amplitude attenuation decreased with an increased hardness of the collision material. The specific surface area of the bruise periodically changes with the drop time, and the bruising depth first increases and then decreases.


Introduction
FUM is a biennial herb of the lily family. [1,2]Its medicinal value lies in the bulb, which mainly grows underground and whose shape is similar to that of a flattened disc.The size of the bulb can vary between 3 and 30 mm and its harvest depth is 70 ~ 100 mm.In China, FUM is not only a precious medicinal material, but also a health food.Pear drinks and health congee contained FUM are popular at home and abroad. [3]FUM is mainly cultivated by artificial methods in the Lesser Khingan Mountains and Changbai Mountains in Northeast China. [4]According to incomplete statistics, the planting area for FUM in Northeast China reached 132 km 2 in 2022; the annual production of dried FUM can reach 30,000 tons.This can create economic benefits of approximately 1.8 billion yuan for farmers every year. [5]arvesting FUM is a time-consuming and labor-intensive job. [6]Harvesting on time is an important requirement, and almost all harvesting is concentrated in June and July, in the rainy season; FUM impact model of litchi and the CED model considering energy dissipation to calculate the impact characteristics of litchi.Then, they evaluated the degree of damage to fruit.Vipasdamrongkul et al. [29] proposed a method to calculate the surface damage area of guava fruit based on image segmentation.Htike et al. [30] used fractal image analysis to study the effects of different drop heights and drop times on the impact damage and quality of guava.Satitmunnaithum et al. [31] conducted a drop impact test to determine strawberry damage according to four different visual damage index classifications.Xie et al. [32] used a pendulum impact test to analyze the impact velocity and damage of potato tubers.Shao et al. [33] proposed an early damage detection method for an apple surface based on near infrared camera imaging technology and the image threshold segmentation method.Researchers used free drop and impact experiments to analyze the impact of dropping height, curvature radius of fruit, contact material and dropping direction of fruit on the damage area, damage volume, absorbed energy and other evaluation indexes.The above references are summarized in Table 1.
Previous research methods, factors, and indicators are considered in this study.The size of FUM varies, and the impact of FUM on a surface produces small damping-free vibrations during drum screening.To reduce the mechanical damage to FUM, this study defines the drop breakage relationship of FUM by considering the impact peak force, drop depth, specific surface area of bruise, and Ratio of amplitude attenuation as evaluation indexes and the FUM mass, dropping height, collision material, and number of collisions as influencing factors.Orthogonal and single experiments analyzed the influence of the above factors on the evaluation index.These results can serve as an important reference when designing and developing low-loss drum screening, improving the low loss-technology level of FUM harvesters, and enriching the relevant theories of FUM low-loss.

FUM preparation
FUM were picked from Yi-chun city, Heilongjiang Province, China.After harvesting, to prevent water loss, the FUM were transported in soil to the lab in Heilongjiang Bayi Agricultural University located in Daqing City for the impact experiments and stored in a cool place or refrigerator for preservation.In order to ensure the freshness and quality of FUM, we stored it at 2-6°C and about 13-14% humidity.Before experiments, the FUM were checked to ensure there was no damage by microscope and divided into four groups according to weight as follows: 1 g, 2 g, 3 g and 4 g (Figure 1).

Free drop experiment
An experimental system was designed for the free drop experiment.Because FUM will collide with soil, FUM, screen, and a steel plate when screening in the roller screen, these four materials will be used as collision materials for the experiment.The experimental bench is welded with a steel structure.The design considers that FUM is not affected by the free fall experiment, and the sensor should be able to measure the data at the time of collision.We designed a device that was mainly composed of a base frame, adjustable height platform, guide tube, self-made fixture, impact platform, data acquisition card, data cable, and computer (Figure 2).The base frame was welded to the impact platform, the adjustable height platform was mounted on the base frame and was adjustable, and the guide pipe was connected to the adjustable height platform.The fixture was fixed to the impact platform via a screw connection.The fixture was connected to the computer by the data acquisition card and data cable.The fixture was mainly composed of a screen, channel steel, base plate, sensor, bolt, and press plate (Figure 3).A sensor was installed between the base plate of the fixture and the base of the drop table by a thread connection.The collision material known as the screening mesh and the base plate were supported by the channel steel, respectively connected with the channel steel and pressure plate by a screw connection are shown in Figure 3.In the experiments, the FUM was dropped from the adjustable-height platform, through the guide tube, and collided with the screen on the fixture.The changes in the impact peak force between the different collision materials and weights of the FUM were measured by a force sensor (Model 1199, Arizon technology, China), which has an accuracy of 0.05% and an operating frequency of 1.7 kHz.The force data was collected and recorded by an acquisition system connected to the PC and analyzed using FD0843.Based on the working principle and structure characteristics of the drum screening, test factors of the experiment were the FUM quality, dropping height, collision material and number of collisions.The effects of each factor on the bruise depth, specific surface area of bruise, impact peak force, and Ratio of amplitude attenuation were analyzed.Each factor was tested for four different values (Table 2).Because drum screen is composed of steel plate, screening mesh, etc., when screening and FUM collision with FUM, soil, steel plate, screening mesh, these materials are selected as different types of collision materials.Based on theoretical analysis and simulation analysis, the maximum and the minimum drop height is 1500 mm and 600 mm, respectively.According to the principle of equal level, the level of the dropping height is 600, 900, 1200 and 1500 mm.According to the motion analysis, the minimum rotation times of the material in the drum are 3 turns and the maximum is 6 turns.So the level of the Number of collisions is 3,4,5, and 6.The L 16 (4 5 ) table was used as the orthogonal test table.The number of test groups was N = 16.Each test was repeated 10 times and the average value was taken as the experimental result (Table 3).

Determination of depth and specific surface area of bruise
The bruise depth was taken to be the average value of the multiple measured depth values, H (Figure 4).It is measured by using vernier calipers.The shape of the bruise area was approximately elliptical. [34,35]The special surface area of bruise is given by where a and b are the width (mm) and length (mm) of the damage, respectively; M g is the mass (g) of the FUM; and A is the specific surface area (mm 2 /g) of the bruise.

Determination of impact peak force and ratio of amplitude attenuation
The variation curve of the impact force on the FUM; its variation law is consistent with the small periodic damping attenuation function (Figure 5).The impact peak force is the maximum value on the curve. [36]The Ratio of the amplitude attenuation is the ratio of adjacent impact forces values, [37] given by the formula where T is the damping period T=T1=T2 (s), T1 and T2 are defined in Figure 5, and n is damping coefficient (1/s).The average value of the impact peak force and Ratio of amplitude attenuation of 10 repetitions was taken as the final value.

Orthogonal test results
Data collected from the experiments are listed in Table 4. List of optimal level definitions for each factor (Table 5), kx is the average value of the test index obtained when a factor has the value of level x.For example, in the "FUM mass (A)" column, k1 represents the mean bruise depth for a quality level of one: k1=K1/4=(0.00+ 0.51 + 1.52 + 1.57)/4 = 0.9.The range (R) is the difference between the maximum and minimum values of k1 to k4 for each index.The range reflects the degree of influence of the factor on the test index.The larger its value, the greater the difference in the indexes for different factor values, that is, the greater the influence of the factor on the test index, and the more important the factor is. Based on the range value, we can determine whether the factor is major or minor.
The range specifies the difference between the maximum and minimum values of kx obtained for each factor.The optimal level specifies the factor level that yields the best kx value.The primary and secondary order is given by the order of the factors from the one with the greatest to least influence on the test indexes.Comparative analysis indicates that the main influencing factor for bruise depth in FUM contact collision was the collision material, followed by the dropping height, FUM mass, and number of collisions.The influence of the collision material, dropping height, and FUM mass on the bruise depth was very significant, and the number of collisions was a significant factor.The main influencing factor for specific surface area of bruise was the collision material, followed by the dropping height, FUM mass, and number of collisions.The influences of all these factors were very significant.The main influencing factor for the impact peak force was the FUM mass, followed by the dropping height, collision material, and number of collisions.In addition, the influence of the FUM mass, dropping height, and collision material on the impact peak force was very significant, but the influence of the number of collisions was not significant.The main influencing factor for the ratio of amplitude attenuation was the collision material, followed by the FUM mass, dropping height, and number of collisions.Finally, the influence of the collision material on the Ratio of amplitude attenuation was very significant, while the impacts of the other factors were not significant.

Single factor test results
The orthogonal test results show that the mass, dropping height, collision material, and number of collisions have different degrees of influence on the bruise depth, specific surface area of bruise, impact  peak force, and Ratio of amplitude attenuation.Therefore, single factor experiments were conducted on the mass, dropping height, collision material and number of collisions.The results are shown in Figures 6-9.

Effect of FUM mass
The solid line indicates the fitting curve for the impact peak force (Figure 6).The fitting equation is y = 0.03-0.003×+0.02x 2 -0.00167x 3 , and the coefficient of determination is R 2 = 1.The impact peak force rapidly increases as the mass of the FUM increases, and its maximum value is 0.15 N. The dash-dotted line indicates the fitting curve for the bruise depth.The fitting equation is y = 0.83-0.02×+0.11x 2 -0.02x 3 , and the coefficient of determination is R 2 = 1.The bruise depth increases, at first rapidly, and then slowly, as the mass of the FUM increases, and its maximum value is 1.33 mm.The dashed line indicates the fitting curve for the specific surface area of bruise.The fitting equation is y = −5.61+ 31.915×-14.92x2 +1.905x 3 , and the coefficient of determination is R 2 = 1.The specific surface area of  bruise first increases and then decreases as the mass of the FUM increases, and its maximum value is 15.12 mm 2 /g.where: kx is the mean value of the test index when the value of the factor is that of level x.The range specifies the difference between the maximum and minimum values of kx obtained for each factor.The optimal level specifies the factor level that yields the best kx value.The primary and secondary order is given by the order of the factors from the one with the greatest to least influence on the test indexes.

Effect of dropping height
The solid line indicates the fitting curve for the impact peak force (Figure 7).The fitting equation is y = 0.02 + 0.000067×, and the coefficient of determination is R 2 = 1.The impact peak force rapidly increases as the dropping height increases, and its maximum value is 0.06 N. The dashed line indicates the fitting curve for the bruise depth.The fitting equation is y = 1.57-0.00152×+0.00000095x 2 , and the coefficient of determination is R 2 = 0.998.The bruise depth increases, at first slowly and then rapidly, as the dropping height increases, and its maximum value is 1.43 mm.The dash-dotted line indicates the fitting curve for the specific surface area of bruise.The fitting equation is y = 85.67-0.2673×+2.83667E-4x 2 -9.2963E-8x 3 , and the coefficient of determination is R 2 = 1.The specific surface area of bruise first decreased, then increased, and finally decreased between a minimum of 5.34 mm 2 /g and a maximum of 13.34 mm 2 /g.Effect of Collision Material In the single factor test, the bruise depth and specific surface area of bruise increased and the impact peak force and Ratio of amplitude attenuation decreased as the hardness of the collision material increased, as shown in Figure 8.The bruise depth and specific surface area of bruise indicate that the collision damage due to collision with FUM and soil is small, but that with the screening mesh and steel plate is large.The impact peak force due to collision with FUM and soil is large, while that with the screening mesh and steel plate is small.

Effect of number of collisions
The solid line indicates the fitting curve for the specific surface area of bruise (Figure 9).The fitting equation is y = 308.47-220.62×+51.945x 2 -3.915x 3 , and the coefficient of determination is R 2 = 1.The specific surface area of bruise first decreased, then increased, and finally decreased as the number of collisions increases, and its maximum value is 15.47 mm 2 /g.The dashed line indicates the fitting curve for the bruise depth.The fitting equation is y = 5.25-3.76×+1.07x 2 -0.09x 3 , and the coefficient of determination is R 2 = 1.The bruise depth first increases and then decreases as number of collisions increases, and its maximum value is 1.41 mm.

Discussion of orthogonal results
The factors influencing the bruise depth, in order from most influential to least, were the collision material, dropping height, mass of the FUM and number of collisions.This is not consistent with Deng et al. [38] and Xie et al. [39] who concluded that the factors in order of most influential to least, were the dropping height, collision material, and potato mass.This is attributable to the mass of FUM being much smaller than that of a potato, and the height selected in this study having less impact on FUM than the collision material.The factors influencing the impact peak force were, in order: the mass of the FUM, dropping height, collision material, and number of collisions.This is consistent with the conclusions of Deng et al. [38] The specific surface area of bruise and Ratio of amplitude attenuation are the evaluation indexes for FUM and drum screening structure, so the ranking of the main influencing factors is rare; however a comparative discussion of this does not form part of the present study.

Effect of FUM mass
The bruise depth and impact peak force increase as the mass of the FUM increases; this is because for the same height, collision material, and number of collisions, a larger FUM mass results in a greater energy loss, bruise depth, change in momentum, and impulse.Since the collision period is unchanged, the impact peak force is also greater.The specific surface area of bruise decreased as the mass of the FUM increased.This is not consistent with the conclusions of Wang et al., [40] in which the surface area of the damage increased as the mass of the FUM increased; however, in their study, the rate of increase of the surface area was smaller than that of the mass, so the surface area per unit mass decreased.Hence, we can conclude that, in a falling collision, a large mass of FUM yields a large impact force and bruise depth, but a small bruise area per unit mass, meaning that FUM is easily broken.

Effect of dropping height
The impact peak force and bruise depth increased as the dropping height increased, as shown in Figure 7; this is because for the same mass, collision material, and number of collisions a higher dropping height results in a greater the energy loss and greater bruise depth.The change in momentum, impulse, and impact peak force are also greater because the collision period is unchanged.The specific surface area of the bruise first decreased and then increased as the dropping height increased; this is not consistent with the conclusions of Kursat Celik et al., [41] Komarnicki et al., [42] or Zhou et al that the surface area of bruise increased as the dropping height increased. [43]The reason for the decrease in the surface area of bruise at a dropping height of 1200 ~ 1500 mm was the increase in the number breakages.Hence, dropping FUM from a greater height results in a larger force, smaller damage area, and deeper bruise depth, and is more likely to be damaged or even broken.

Effect of collision material
The relationship between the specific surface area and the collision material is consistent with the conclusions of Öztekn et al. [44] or Stopa et al.. [45] During drum screening, reducing the direct contact between FUM and the screen or steel plate is an effective way to reduce the amount of mechanical damage.The relationship of the impact peak force is not consistent with the conclusions of Zhang et al that the impact peak force increases with the increase of material hardness. [46]As the hardness of the collision material increased, the Ratio of amplitude attenuation decreased.According to Formula 2, damping coefficient and force increased under the condition of constant decay period.With constant gravity, the impact acceleration and peak force decreased.

Effect of number of collisions
The relationship between number of collisions and specific surface area of bruise is not consistent with the conclusions of Wang et al. [47] or Lu and Wang. [48]This is because FUM is characterized by its small size and weight; for multiple collisions, the probability of the FUM colliding at the same position increased, so the relationship was not obvious.The bruise depth first increased and then decreased as the number of collisions increased, which is related to the increase in the number of breakages.Hence, to reduce the amount of mechanical damage, the number of collisions should be reduced.

Conclusion
The test investigated the effect of mass, dropping height, collision material, and number of collisions on the bruise depth, special surface area of bruise, impact peak force, and Ratio of amplitude attenuation.The orthogonal results showed that the number of collisions had no significant influence on the impact peak force, while the collision material was the only factor with a significant influence on the ratio of amplitude attenuation.Single factor tests indicated that the relationship between the four considered factors and the evaluation index varied according to certain rules.The bruise depth and impact peak force increase as the FUM mass increased, while the specific surface area of the bruise first increases and then decreases with increased FUM mass.The bruise depth and impact peak force increased as this dropping height increases, and the specific surface area of the bruise periodically changes.The bruising depth and damage surface area of FUM increased with an increased hardness of the collision material, and the maximum impact force and ratio of amplitude attenuation decreased with an increased hardness of the collision material.The specific surface area of the bruise periodically changes with drop times, and the bruising depth first increased and then decreased.Based on the above results, in the component design aspect, the dropping height or initial velocity of the roller in the machinery must be reduced to reduce the amount of mechanical damage; Considering the component manufacturing aspect, the hardness of small and elastic materials was selected to reduce FUM damage, increase the fluidity of FUM in drum screening, and improve screening efficiency.This suggestion can serve as an important reference when developing low-loss drum screening or harvesting equipment.Meanwhile, because the irregularity of the shape of FUM, the results of the bumps or depressions of FUM colliding with the other material may not be consistent with result of this study; this is the limitation of the study.Effects of uncontrolled FUM variety and diameter on experimental indexes during field operation may be researched further.

Figure 4 .
Figure 4. Example of depth and specific surface area of bruise.

Figure 5 .
Figure 5. Impact force over time during contact.T1 = T2 = T is the damping period.

Figure 6 .
Figure 6.Influence of FUM mass on bruise depth, specific surface area of bruise, and impact peak force.

Figure 7 .
Figure 7. Influence of dropping height on bruise depth, specific surface area of bruise, and impact peak force.

Figure 8 .
Figure 8. Influence of collision material on bruise depth, specific surface area of bruise, impact peak force, and Ratio of amplitude attenuation.

Figure 9 .
Figure 9. Influence of number of collisions on bruise depth and specific surface area of bruise.

Table 2 .
Test factors and range of values for experiments.

Table 3 .
Scheme of orthogonal experimental design.

Table 4 .
Result of orthogonal experimental design.

Table 5 .
Analysis of optimal factor combinations.