Harmonic Loading to Transient Loading

General Tools

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.	.	Motor		Pump		F₀ (N)		F_x(1) (N)			F_z(3) (N)			M_x(4) (N.m)			M_y(5) (N.m)			M_z(6) (N.m)
.	Time(s)	w_m.t	b_m	w_p.t + Phase Angle	b_p	Motor	Pump	Motor	Pump	.	Motor	Pump	.	Motor	Pump	.	Motor	Pump	.	Motor	Pump	.
i	i x t	2p.f_m.t / 60	angle	2p.f_p.t / 60 + a.p / 180	angle	W_m.f_mx9.81 / 6000	W_p.f_px9.81 / 6000	F₀.SIN(b_m)	F₀.SIN(b_p)	Total	F₀.COS(b_m)	F₀.COS(b_p)	Total	F_zm.(Y_m-Y_c)	F_zp.(Y_p-Y_c)	Total	F_zm.(X_m-X_c)+ F_xm.(Z_m-Z_c)	F_zp.(X_p-X_c)+ F_xp.(Z_p-Z_c)	Total	F_xm.(Y_m-Y_c)	F_xp.(Y_p-Y_c)	Total
0	0	0	0	0	0	2943	3472	0	0	0	2943	3472	6415	12905	-9813	3092	0	0	0	0	0	0
1	0.001	0.188	10.8	0.542	31.1	2943	3472	551	1793	2344	2891	2974	5865	12676	-8404	4272	1335	4338	5673	2418	-5066	-2648
2	0.002	0.377	21.6	1.085	62.2	2943	3472	1083	3070	4154	2736	1622	4358	11999	-4583	7416	2622	7431	10052	4751	-8677	-3927
3	0.003	0.565	32.4	1.627	93.2	2943	3472	1577	3467	5044	2485	-196	2289	10896	555	11451	3816	8390	12206	6915	-9797	-2882
4	0.004	0.754	43.2	2.17	124.3	2943	3472	2015	2868	4882	2145	-1958	188	9407	5533	14940	4875	6940	11816	8834	-8105	730
5	0.005	0.942	54.0	2.712	155.4	2943	3472	2381	1445	3826	1730	-3157	-1427	7585	8922	16508	5762	3498	9260	10440	-4085	6355
6	0.006	1.131	64.8	3.255	186.5	2943	3472	2663	-392	2271	1253	-3450	-2197	5495	9750	15245	6444	-948	5496	11677	1107	12784
7	0.007	1.319	75.6	3.797	217.6	2943	3472	2851	-2117	734	732	-2753	-2021	3209	7779	10988	6898	-5123	1776	12500	5982	18482
8	0.008	1.508	86.4	4.34	248.6	2943	3472	2937	-3234	-297	185	-1265	-1080	810	3574	4384	7108	-7826	-718	12880	9139	22019
9	0.009	1.696	97.2	4.882	279.7	2943	3472	2920	-3423	-503	-369	586	217	-1617	-1657	-3274	7066	-8283	-1217	12803	9672	22475
10	0.01	1.885	108.0	5.424	310.8	2943	3472	2799	-2629	170	-909	2269	1360	-3988	-6412	-10400	6773	-6361	412	12273	7428	19702
11	0.011	2.073	118.8	5.967	341.9	2943	3472	2579	-1080	1499	-1418	3300	1882	-6217	-9326	-15543	6241	-2613	3628	11309	3052	14361
12	0.012	2.262	129.6	6.509	373.0	2943	3472	2268	779	3046	-1876	3384	1508	-8226	-9563	-17789	5488	1885	7372	9944	-2201	7743
13	0.013	2.45	140.4	7.052	404.0	2943	3472	1876	2414	4290	-2268	2496	229	-9944	-7054	-16998	4540	5842	10381	8226	-6822	1404
14	0.014	2.639	151.2	7.594	435.1	2943	3472	1418	3356	4774	-2579	892	-1687	-11309	-2520	-13829	3431	8121	11553	6217	-9484	-3267
15	0.015	2.827	162.0	8.137	466.2	2943	3472	909	3335	4244	-2799	-969	-3768	-12273	2738	-9536	2201	8070	10270	3988	-9423	-5436
16	0.016	3.016	172.8	8.679	497.3	2943	3472	369	2356	2725	-2920	-2551	-5471	-12803	7209	-5594	893	5701	6594	1617	-6657	-5040
17	0.017	3.204	183.6	9.222	528.4	2943	3472	-185	701	516	-2937	-3401	-6338	-12880	9611	-3268	-447	1695	1248	-810	-1980	-2790
18	0.018	3.393	194.4	9.764	559.4	2943	3472	-732	-1156	-1888	-2851	-3274	-6125	-12500	9254	-3246	-1771	-2797	-4568	-3209	3266	57
19	0.019	3.581	205.2	10.307	590.5	2943	3472	-1253	-2680	-3933	-2663	-2208	-4871	-11677	6239	-5438	-3032	-6486	-9518	-5495	7574	2079
20	0.02	3.77	216.0	10.849	621.6	2943	3472	-1730	-3435	-5165	-2381	-507	-2888	-10440	1434	-9007	-4186	-8313	-12499	-7585	9708	2122
21	0.021	3.958	226.8	11.391	652.7	2943	3472	-2145	-3204	-5349	-2015	1339	-676	-8834	-3784	-12618	-5192	-7753	-12945	-9407	9054	-353
22	0.022	4.147	237.6	11.934	683.8	2943	3472	-2485	-2053	-4538	-1577	2801	1224	-6915	-7915	-14830	-6013	-4968	-10981	-10896	5801	-5095
23	0.023	4.335	248.4	12.476	714.8	2943	3472	-2736	-312	-3049	-1083	3458	2375	-4751	-9773	-14524	-6622	-756	-7378	-11999	883	-11116
24	0.024	4.524	259.2	13.019	745.9	2943	3472	-2891	1518	-1373	-551	3123	2572	-2418	-8826	-11244	-6996	3673	-3323	-12676	-4289	-16966
25	0.025	4.712	270.0	13.561	777.0	2943	3472	-2943	2912	-31	3.51e-05	1891	1891	1.54e-04	-5345	-5345	-7122	7048	-75	-12905	-8230	-21135
26	0.026	4.901	280.8	14.104	808.1	2943	3472	-2891	3470	580	551	116	668	2418	-329	2089	-6996	8399	1403	-12676	-9808	-22484
27	0.027	5.089	291.6	14.646	839.2	2943	3472	-2736	3032	296	1083	-1692	-609	4751	4781	9532	-6622	7338	716	-11999	-8569	-20568
28	0.028	5.278	302.4	15.189	870.2	2943	3472	-2485	1724	-761	1577	-3014	-1438	6915	8519	15434	-6013	4171	-1842	-10896	-4871	-15767
29	0.029	5.466	313.2	15.731	901.3	2943	3472	-2145	-80	-2225	2015	-3471	-1457	8834	9810	18645	-5192	-194	-5385	-9407	226	-9181
30	0.03	5.655	324.0	16.273	932.4	2943	3472	-1730	-1861	-3590	2381	-2932	-551	10440	8285	18726	-4186	-4503	-8689	-7585	5258	-2327
31	0.031	5.843	334.8	16.816	963.5	2943	3472	-1253	-3107	-4360	2663	-1550	1112	11677	4382	16058	-3032	-7519	-10551	-5495	8781	3286
32	0.032	6.032	345.6	17.358	994.6	2943	3472	-732	-3461	-4193	2851	276	3127	12500	-780	11719	-1771	-8377	-10148	-3209	9782	6573
33	0.033	6.22	356.4	17.901	1025.6	2943	3472	-185	-2822	-3007	2937	2023	4961	12880	-5718	7162	-447	-6829	-7276	-810	7975	7165
34	0.034	6.409	367.2	18.443	1056.7	2943	3472	369	-1372	-1004	2920	3190	6110	12803	-9014	3789	893	-3321	-2429	1617	3878	5496
35	0.035	6.597	378.0	18.986	1087.8	2943	3472	909	471	1381	2799	3440	6239	12273	-9722	2551	2201	1140	3341	3988	-1332	2656
36	0.036	6.786	388.8	19.528	1118.9	2943	3472	1418	2180	3597	2579	2703	5282	11309	-7639	3670	3431	5275	8706	6217	-6160	57
37	0.037	6.974	399.6	20.071	1150.0	2943	3472	1876	3262	5138	2268	1190	3458	9944	-3363	6581	4540	7894	12434	8226	-9219	-993
38	0.038	7.163	410.4	20.613	1181.0	2943	3472	2268	3408	5676	1876	-665	1211	8226	1879	10105	5488	8248	13735	9944	-9631	312
39	0.039	7.351	421.2	21.155	1212.1	2943	3472	2579	2576	5155	1418	-2329	-911	6217	6581	12799	6241	6233	12474	11309	-7279	4030
40	0.04	7.54	432.0	21.698	1243.2	2943	3472	2799	1004	3803	909	-3324	-2415	3988	9394	13382	6773	2429	9202	12273	-2836	9437
41	0.041	7.728	442.8	22.24	1274.3	2943	3472	2920	-857	2063	369	-3365	-2996	1617	9510	11127	7066	-2073	4993	12803	2421	15224
42	0.042	7.917	453.6	22.783	1305.4	2943	3472	2937	-2471	466	-185	-2440	-2625	-810	6895	6085	7108	-5979	1129	12880	6982	19862
43	0.043	8.105	464.4	23.325	1336.4	2943	3472	2851	-3376	-525	-732	-814	-1546	-3209	2301	-909	6898	-8169	-1271	12500	9540	22039
44	0.044	8.294	475.2	23.868	1367.5	2943	3472	2663	-3311	-648	-1253	1045	-208	-5495	-2954	-8449	6444	-8013	-1569	11677	9358	21035
45	0.045	8.482	486.0	24.41	1398.6	2943	3472	2381	-2296	85	-1730	2605	875	-7585	-7361	-14946	5762	-5557	205	10440	6489	16930
46	0.046	8.671	496.8	24.953	1429.7	2943	3472	2015	-622	1393	-2145	3416	1271	-9407	-9654	-19062	4875	-1505	3370	8834	1758	10592
47	0.047	8.859	507.6	25.495	1460.8	2943	3472	1577	1231	2808	-2485	3247	762	-10896	-9176	-20072	3816	2979	6795	6915	-3478	3437
48	0.048	9.048	518.4	26.038	1491.8	2943	3472	1083	2730	3814	-2736	2145	-591	-11999	-6063	-18062	2622	6607	9229	4751	-7716	-2965
49	0.049	9.236	529.2	26.58	1522.9	2943	3472	551	3446	3997	-2891	428	-2463	-12676	-1209	-13886	1335	8339	9674	2418	-9738	-7320
50	0.05	9.425	540.0	27.122	1554.0	2943	3472	-7.02e-05	3172	3172	-2943	-1412	-4355	-12905	3991	-8914	-1.70e-04	7677	7677	-3.08e-04	-8965	-8965
51	0.051	9.613	550.8	27.665	1585.1	2943	3472	-551	1988	1436	-2891	-2847	-5738	-12676	8046	-4630	-1335	4810	3476	-2418	-5617	-8035
52	0.052	9.802	561.6	28.207	1616.2	2943	3472	-1083	233	-851	-2736	-3465	-6201	-11999	9791	-2208	-2622	563	-2059	-4751	-657	-5408
53	0.053	9.99	572.4	28.75	1647.2	2943	3472	-1577	-1589	-3166	-2485	-3087	-5572	-10896	8725	-2171	-3816	-3846	-7663	-6915	4492	-2423
54	0.054	10.179	583.2	29.292	1678.3	2943	3472	-2015	-2955	-4970	-2145	-1824	-3969	-9407	5154	-4254	-4875	-7151	-12027	-8834	8351	-483
55	0.055	10.367	594.0	29.835	1709.4	2943	3472	-2381	-3472	-5853	-1730	-36	-1766	-7585	103	-7483	-5762	-8403	-14165	-10440	9813	-628
56	0.056	10.556	604.8	30.377	1740.5	2943	3472	-2663	-2993	-5655	-1253	1761	508	-5495	-4978	-10472	-6444	-7242	-13686	-11677	8457	-3220
57	0.057	10.744	615.6	30.92	1771.6	2943	3472	-2851	-1654	-4504	-732	3053	2321	-3209	-8629	-11838	-6898	-4002	-10900	-12500	4673	-7826
58	0.058	10.933	626.4	31.462	1802.6	2943	3472	-2937	160	-2777	-185	3469	3284	-810	-9803	-10613	-7108	387	-6721	-12880	-452	-13332
59	0.059	11.121	637.2	32.004	1833.7	2943	3472	-2920	1928	-992	369	2888	3257	1617	-8162	-6545	-7066	4665	-2401	-12803	-5448	-18251
60	0.06	11.31	648.0	32.547	1864.8	2943	3472	-2799	3142	343	909	1478	2388	3988	-4178	-190	-6773	7603	830	-12273	-8879	-21153
61	0.061	11.498	658.8	33.089	1895.9	2943	3472	-2579	3454	875	1418	-356	1062	6217	1005	7222	-6241	8359	2118	-11309	-9761	-21070
62	0.062	11.687	669.6	33.632	1927.0	2943	3472	-2268	2775	507	1876	-2088	-212	8226	5900	14126	-5488	6715	1227	-9944	-7841	-17785
63	0.063	11.875	680.4	34.174	1958.0	2943	3472	-1876	1299	-577	2268	-3220	-953	9944	9101	19045	-4540	3142	-1397	-8226	-3670	-11896

m Overall Center of Gravity X_c = m Z_c = m Y_c =

Harmonic Loading to Transient Loading

highlighting Curve

Rotor Speed f_m = RPM RPM f_p =

Rotor Weight W_m = kg kg W_p =

m Center of Gravity of Pump X_p = m Z_p = m Y_p =

m Center of Gravity of Motor X_m = m Z_m = m Y_m =

Same Opposite Rotating Direction

Information a = t = n =

This function is just for transferring the harmonic loading to transient loading for vibrating equipment foundation analysis.

C₁ - center of gravity of the motor   (X_m, Y_m, Z_m)
C₂ - center of gravity of the pump   (X_p, Y_p, Z_p)
C₃ - center of gravity of whole equipment and foundation   (X_c, Y_c, Z_c)
    (the orignal point at the lower left corner of footing)

n - number of time intervals, it should be power of 2, such as: 32, 64, etc.

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