An Experimental Study and Mathematical Modeling of Vibration Transfer in Pistachio Trees Using an Inertia-Type Trunk Shaker and Field-Adapted Wireless Sensors

Table 1

Evaluation of equation (8) for different shaken trees with different patterns (unit for L and D is m and for a is ).

Tree	1	2	3	4	5	6	7	8	9	10	11	12
Age	8	10	11	15	23	23	25	25	27	28	29	29
Pattern	P3, 4	P3, 4	P3, 4	P3, 4	P1, 2, 3, 4	P1, 2, 3, 4	P2, 3, 4	P2, 3, 4	P2, 3, 4	P2, 3, 4	P2, 3, 4	P2, 3, 4
	1.04	0.97	1.19	1.07	1.45	1.63	1.47	1.30	1.73	1.35	0.81	1.45
	0.22	0.51	0.53	0.33	0.64	0.66	0.91	0.56	0.51	0.76	0.69	0.41
	0.53	0.46	1.09	0.46	1.30	0.46	1.22	0.91	0.61	0.76	0.84	1.07
	0.10	0.08	0.15	0.11	0.30	0.26	0.24	0.29	0.34	0.39	0.36	0.38
	0.06	0.07	0.06	0.07	0.15	0.14	0.20	0.16	0.13	0.19	0.22	0.17
	0.04	0.05	0.05	0.06	0.08	0.08	0.09	0.11	0.12	0.12	0.14	0.11
	0.02	0.04	0.02	0.03	0.07	0.02	0.09	0.06	0.09	0.08	0.08	0.08
	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00
	18.40	14.04	18.46	14.66	9.68	11.49	7.29	8.01	13.35	7.24	3.72	8.53
	23.74	23.71	29.45	20.50	17.34	20.09	17.57	12.95	17.54	13.52	8.71	12.39
	45.73	35.02	74.48	34.63	35.14	38.94	31.28	27.09	24.39	23.44	19.08	25.59
	43.01	50.97	45.37	60.34	122.62	134.98	123.65	103.76	86.73	104.19	94.14	102.58
	105.03	204.79	149.44	163.66	210.56	335.09	243.26	183.34	136.65	225.44	161.90	229.75
	89.90	139.50	140.26	188.63	265.93	279.89	246.07	166.44	116.80	218.01	164.09	180.51
	165.83	175.33	71.00	273.46	202.83	13.60	283.23	200.58	150.06	201.28	232.18	198.74
	35.805	41.470	37.145	44.610	103.168	105.315	123.650	102.073	79.990	94.340	94.140	102.580
	23.716	32.144	5.033	5.365	−0.105	24.396	27.094	13.812	23.144	24.911	32.069	48.081
	−1.421	−2.030	−0.075	−0.137	0.561	−1.177	−1.693	−0.940	−2.103	−1.567	−4.308	−4.968
	0.021	0.034	0.000	0.003	−0.014	0.018	0.031	0.020	0.052	0.030	0.156	0.126
	0.588	0.918	0.531	0.975	0.426	0.767	0.991	0.836	0.921	0.971	0.986	0.999